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Finding the Third Proportional to 3,909.09 and 6,244.59

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Solution

The third proportional to 3,909.09 and 6,244.59 is: 9,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.09 : 6,244.59 = 6,244.59 : x
  2. Step 2: Convert to fraction form
    3,909.09/6,244.59 = 6,244.59/x
  3. Step 3: Cross multiply
    3,909.09x = 6,244.59 × 6,244.59
  4. Step 4: Simplify right side
    3,909.09x = 38,994,951.10
  5. Step 5: Solve for x
    x = 38,994,951.10/3,909.09
  6. Step 6: Final answer
    x = 9,975.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.