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Finding the Third Proportional to 37,340 and 58,283

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Solution

The third proportional to 37,340 and 58,283 is: 90,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,340 : 58,283 = 58,283 : x
  2. Step 2: Convert to fraction form
    37,340/58,283 = 58,283/x
  3. Step 3: Cross multiply
    37,340x = 58,283 × 58,283
  4. Step 4: Simplify right side
    37,340x = 3,396,908,089
  5. Step 5: Solve for x
    x = 3,396,908,089/37,340
  6. Step 6: Final answer
    x = 90,972.36

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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.