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Finding the Third Proportional to 32,470.88 and 48,799.13

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Solution

The third proportional to 32,470.88 and 48,799.13 is: 73,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.88 : 48,799.13 = 48,799.13 : x
  2. Step 2: Convert to fraction form
    32,470.88/48,799.13 = 48,799.13/x
  3. Step 3: Cross multiply
    32,470.88x = 48,799.13 × 48,799.13
  4. Step 4: Simplify right side
    32,470.88x = 2,381,354,600.77
  5. Step 5: Solve for x
    x = 2,381,354,600.77/32,470.88
  6. Step 6: Final answer
    x = 73,338.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.