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Finding the Third Proportional to 23,650 and 37,107

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Solution

The third proportional to 23,650 and 37,107 is: 58,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,650 : 37,107 = 37,107 : x
  2. Step 2: Convert to fraction form
    23,650/37,107 = 37,107/x
  3. Step 3: Cross multiply
    23,650x = 37,107 × 37,107
  4. Step 4: Simplify right side
    23,650x = 1,376,929,449
  5. Step 5: Solve for x
    x = 1,376,929,449/23,650
  6. Step 6: Final answer
    x = 58,221.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.