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Finding the Third Proportional to 54,472 and 75,011

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Solution

The third proportional to 54,472 and 75,011 is: 103,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,472 : 75,011 = 75,011 : x
  2. Step 2: Convert to fraction form
    54,472/75,011 = 75,011/x
  3. Step 3: Cross multiply
    54,472x = 75,011 × 75,011
  4. Step 4: Simplify right side
    54,472x = 5,626,650,121
  5. Step 5: Solve for x
    x = 5,626,650,121/54,472
  6. Step 6: Final answer
    x = 103,294.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.