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Finding the Third Proportional to 14,227.31 and 21,386.81

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Solution

The third proportional to 14,227.31 and 21,386.81 is: 32,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.31 : 21,386.81 = 21,386.81 : x
  2. Step 2: Convert to fraction form
    14,227.31/21,386.81 = 21,386.81/x
  3. Step 3: Cross multiply
    14,227.31x = 21,386.81 × 21,386.81
  4. Step 4: Simplify right side
    14,227.31x = 457,395,748.91
  5. Step 5: Solve for x
    x = 457,395,748.91/14,227.31
  6. Step 6: Final answer
    x = 32,149.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.