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Finding the Third Proportional to 14,258.53 and 21,502.97

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Solution

The third proportional to 14,258.53 and 21,502.97 is: 32,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.53 : 21,502.97 = 21,502.97 : x
  2. Step 2: Convert to fraction form
    14,258.53/21,502.97 = 21,502.97/x
  3. Step 3: Cross multiply
    14,258.53x = 21,502.97 × 21,502.97
  4. Step 4: Simplify right side
    14,258.53x = 462,377,665.06
  5. Step 5: Solve for x
    x = 462,377,665.06/14,258.53
  6. Step 6: Final answer
    x = 32,428.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.