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Finding the Third Proportional to 14,073.75 and 19,666.13

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Solution

The third proportional to 14,073.75 and 19,666.13 is: 27,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.75 : 19,666.13 = 19,666.13 : x
  2. Step 2: Convert to fraction form
    14,073.75/19,666.13 = 19,666.13/x
  3. Step 3: Cross multiply
    14,073.75x = 19,666.13 × 19,666.13
  4. Step 4: Simplify right side
    14,073.75x = 386,756,472.52
  5. Step 5: Solve for x
    x = 386,756,472.52/14,073.75
  6. Step 6: Final answer
    x = 27,480.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.