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Finding the Third Proportional to 41,842.50 and 62,764

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Solution

The third proportional to 41,842.50 and 62,764 is: 94,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,842.50 : 62,764 = 62,764 : x
  2. Step 2: Convert to fraction form
    41,842.50/62,764 = 62,764/x
  3. Step 3: Cross multiply
    41,842.50x = 62,764 × 62,764
  4. Step 4: Simplify right side
    41,842.50x = 3,939,319,696
  5. Step 5: Solve for x
    x = 3,939,319,696/41,842.50
  6. Step 6: Final answer
    x = 94,146.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.