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Finding the Third Proportional to 22,473 and 49,138.50

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Solution

The third proportional to 22,473 and 49,138.50 is: 107,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473 : 49,138.50 = 49,138.50 : x
  2. Step 2: Convert to fraction form
    22,473/49,138.50 = 49,138.50/x
  3. Step 3: Cross multiply
    22,473x = 49,138.50 × 49,138.50
  4. Step 4: Simplify right side
    22,473x = 2,414,592,182.25
  5. Step 5: Solve for x
    x = 2,414,592,182.25/22,473
  6. Step 6: Final answer
    x = 107,444.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.