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Finding the Third Proportional to 22,708.13 and 49,198.50

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Solution

The third proportional to 22,708.13 and 49,198.50 is: 106,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.13 : 49,198.50 = 49,198.50 : x
  2. Step 2: Convert to fraction form
    22,708.13/49,198.50 = 49,198.50/x
  3. Step 3: Cross multiply
    22,708.13x = 49,198.50 × 49,198.50
  4. Step 4: Simplify right side
    22,708.13x = 2,420,492,402.25
  5. Step 5: Solve for x
    x = 2,420,492,402.25/22,708.13
  6. Step 6: Final answer
    x = 106,591.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.