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Finding the Third Proportional to 44,764 and 62,749

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Solution

The third proportional to 44,764 and 62,749 is: 87,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,764 : 62,749 = 62,749 : x
  2. Step 2: Convert to fraction form
    44,764/62,749 = 62,749/x
  3. Step 3: Cross multiply
    44,764x = 62,749 × 62,749
  4. Step 4: Simplify right side
    44,764x = 3,937,437,001
  5. Step 5: Solve for x
    x = 3,937,437,001/44,764
  6. Step 6: Final answer
    x = 87,959.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.