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Finding the Third Proportional to 13,456.13 and 22,690.13

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Solution

The third proportional to 13,456.13 and 22,690.13 is: 38,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.13 : 22,690.13 = 22,690.13 : x
  2. Step 2: Convert to fraction form
    13,456.13/22,690.13 = 22,690.13/x
  3. Step 3: Cross multiply
    13,456.13x = 22,690.13 × 22,690.13
  4. Step 4: Simplify right side
    13,456.13x = 514,841,772.52
  5. Step 5: Solve for x
    x = 514,841,772.52/13,456.13
  6. Step 6: Final answer
    x = 38,260.78

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.