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Finding the Third Proportional to 54,472 and 82,032

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Solution

The third proportional to 54,472 and 82,032 is: 123,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,472 : 82,032 = 82,032 : x
  2. Step 2: Convert to fraction form
    54,472/82,032 = 82,032/x
  3. Step 3: Cross multiply
    54,472x = 82,032 × 82,032
  4. Step 4: Simplify right side
    54,472x = 6,729,249,024
  5. Step 5: Solve for x
    x = 6,729,249,024/54,472
  6. Step 6: Final answer
    x = 123,535.93

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Why These Related Problems?

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