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Finding the Third Proportional to 37,376 and 57,716

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Solution

The third proportional to 37,376 and 57,716 is: 89,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,376 : 57,716 = 57,716 : x
  2. Step 2: Convert to fraction form
    37,376/57,716 = 57,716/x
  3. Step 3: Cross multiply
    37,376x = 57,716 × 57,716
  4. Step 4: Simplify right side
    37,376x = 3,331,136,656
  5. Step 5: Solve for x
    x = 3,331,136,656/37,376
  6. Step 6: Final answer
    x = 89,125.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.