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Finding the Third Proportional to 17,470.69 and 36,148.78

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Solution

The third proportional to 17,470.69 and 36,148.78 is: 74,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,470.69 : 36,148.78 = 36,148.78 : x
  2. Step 2: Convert to fraction form
    17,470.69/36,148.78 = 36,148.78/x
  3. Step 3: Cross multiply
    17,470.69x = 36,148.78 × 36,148.78
  4. Step 4: Simplify right side
    17,470.69x = 1,306,734,385.86
  5. Step 5: Solve for x
    x = 1,306,734,385.86/17,470.69
  6. Step 6: Final answer
    x = 74,795.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.