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Finding the Third Proportional to 12,194.25 and 26,619

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Solution

The third proportional to 12,194.25 and 26,619 is: 58,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.25 : 26,619 = 26,619 : x
  2. Step 2: Convert to fraction form
    12,194.25/26,619 = 26,619/x
  3. Step 3: Cross multiply
    12,194.25x = 26,619 × 26,619
  4. Step 4: Simplify right side
    12,194.25x = 708,571,161
  5. Step 5: Solve for x
    x = 708,571,161/12,194.25
  6. Step 6: Final answer
    x = 58,106.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.