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Finding the Third Proportional to 37,611 and 59,499

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Solution

The third proportional to 37,611 and 59,499 is: 94,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,611 : 59,499 = 59,499 : x
  2. Step 2: Convert to fraction form
    37,611/59,499 = 59,499/x
  3. Step 3: Cross multiply
    37,611x = 59,499 × 59,499
  4. Step 4: Simplify right side
    37,611x = 3,540,131,001
  5. Step 5: Solve for x
    x = 3,540,131,001/37,611
  6. Step 6: Final answer
    x = 94,124.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.