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Finding the Third Proportional to 27,532.50 and 43,765.50

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Solution

The third proportional to 27,532.50 and 43,765.50 is: 69,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,532.50 : 43,765.50 = 43,765.50 : x
  2. Step 2: Convert to fraction form
    27,532.50/43,765.50 = 43,765.50/x
  3. Step 3: Cross multiply
    27,532.50x = 43,765.50 × 43,765.50
  4. Step 4: Simplify right side
    27,532.50x = 1,915,418,990.25
  5. Step 5: Solve for x
    x = 1,915,418,990.25/27,532.50
  6. Step 6: Final answer
    x = 69,569.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.