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Finding the Third Proportional to 3,549.60 and 7,752.74

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Solution

The third proportional to 3,549.60 and 7,752.74 is: 16,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.60 : 7,752.74 = 7,752.74 : x
  2. Step 2: Convert to fraction form
    3,549.60/7,752.74 = 7,752.74/x
  3. Step 3: Cross multiply
    3,549.60x = 7,752.74 × 7,752.74
  4. Step 4: Simplify right side
    3,549.60x = 60,105,041.71
  5. Step 5: Solve for x
    x = 60,105,041.71/3,549.60
  6. Step 6: Final answer
    x = 16,932.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.