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Finding the Third Proportional to 22,659.75 and 37,449

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Solution

The third proportional to 22,659.75 and 37,449 is: 61,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659.75 : 37,449 = 37,449 : x
  2. Step 2: Convert to fraction form
    22,659.75/37,449 = 37,449/x
  3. Step 3: Cross multiply
    22,659.75x = 37,449 × 37,449
  4. Step 4: Simplify right side
    22,659.75x = 1,402,427,601
  5. Step 5: Solve for x
    x = 1,402,427,601/22,659.75
  6. Step 6: Final answer
    x = 61,890.69

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.