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Finding the Third Proportional to 15,822 and 37,341

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Solution

The third proportional to 15,822 and 37,341 is: 88,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822 : 37,341 = 37,341 : x
  2. Step 2: Convert to fraction form
    15,822/37,341 = 37,341/x
  3. Step 3: Cross multiply
    15,822x = 37,341 × 37,341
  4. Step 4: Simplify right side
    15,822x = 1,394,350,281
  5. Step 5: Solve for x
    x = 1,394,350,281/15,822
  6. Step 6: Final answer
    x = 88,127.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.