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Finding the Third Proportional to 37,528 and 58,600

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Solution

The third proportional to 37,528 and 58,600 is: 91,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,528 : 58,600 = 58,600 : x
  2. Step 2: Convert to fraction form
    37,528/58,600 = 58,600/x
  3. Step 3: Cross multiply
    37,528x = 58,600 × 58,600
  4. Step 4: Simplify right side
    37,528x = 3,433,960,000
  5. Step 5: Solve for x
    x = 3,433,960,000/37,528
  6. Step 6: Final answer
    x = 91,503.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.