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Finding the Third Proportional to 37,314 and 58,239

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Solution

The third proportional to 37,314 and 58,239 is: 90,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,314 : 58,239 = 58,239 : x
  2. Step 2: Convert to fraction form
    37,314/58,239 = 58,239/x
  3. Step 3: Cross multiply
    37,314x = 58,239 × 58,239
  4. Step 4: Simplify right side
    37,314x = 3,391,781,121
  5. Step 5: Solve for x
    x = 3,391,781,121/37,314
  6. Step 6: Final answer
    x = 90,898.35

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Why These Related Problems?

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