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Finding the Third Proportional to 27,551.25 and 59,769

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Solution

The third proportional to 27,551.25 and 59,769 is: 129,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,551.25 : 59,769 = 59,769 : x
  2. Step 2: Convert to fraction form
    27,551.25/59,769 = 59,769/x
  3. Step 3: Cross multiply
    27,551.25x = 59,769 × 59,769
  4. Step 4: Simplify right side
    27,551.25x = 3,572,333,361
  5. Step 5: Solve for x
    x = 3,572,333,361/27,551.25
  6. Step 6: Final answer
    x = 129,661.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.