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Finding the Third Proportional to 37,300 and 58,217

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Solution

The third proportional to 37,300 and 58,217 is: 90,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,300 : 58,217 = 58,217 : x
  2. Step 2: Convert to fraction form
    37,300/58,217 = 58,217/x
  3. Step 3: Cross multiply
    37,300x = 58,217 × 58,217
  4. Step 4: Simplify right side
    37,300x = 3,389,219,089
  5. Step 5: Solve for x
    x = 3,389,219,089/37,300
  6. Step 6: Final answer
    x = 90,863.78

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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.