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Finding the Third Proportional to 37,924 and 60,582

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Solution

The third proportional to 37,924 and 60,582 is: 96,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,924 : 60,582 = 60,582 : x
  2. Step 2: Convert to fraction form
    37,924/60,582 = 60,582/x
  3. Step 3: Cross multiply
    37,924x = 60,582 × 60,582
  4. Step 4: Simplify right side
    37,924x = 3,670,178,724
  5. Step 5: Solve for x
    x = 3,670,178,724/37,924
  6. Step 6: Final answer
    x = 96,777.21

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.