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Finding the Third Proportional to 15,920 and 37,448

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Solution

The third proportional to 15,920 and 37,448 is: 88,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920 : 37,448 = 37,448 : x
  2. Step 2: Convert to fraction form
    15,920/37,448 = 37,448/x
  3. Step 3: Cross multiply
    15,920x = 37,448 × 37,448
  4. Step 4: Simplify right side
    15,920x = 1,402,352,704
  5. Step 5: Solve for x
    x = 1,402,352,704/15,920
  6. Step 6: Final answer
    x = 88,087.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.