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Finding the Third Proportional to 14,502.38 and 21,746.81

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Solution

The third proportional to 14,502.38 and 21,746.81 is: 32,610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.38 : 21,746.81 = 21,746.81 : x
  2. Step 2: Convert to fraction form
    14,502.38/21,746.81 = 21,746.81/x
  3. Step 3: Cross multiply
    14,502.38x = 21,746.81 × 21,746.81
  4. Step 4: Simplify right side
    14,502.38x = 472,923,853.91
  5. Step 5: Solve for x
    x = 472,923,853.91/14,502.38
  6. Step 6: Final answer
    x = 32,610.10

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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.