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Finding the Third Proportional to 6,106.80 and 9,781.70

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Solution

The third proportional to 6,106.80 and 9,781.70 is: 15,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.80 : 9,781.70 = 9,781.70 : x
  2. Step 2: Convert to fraction form
    6,106.80/9,781.70 = 9,781.70/x
  3. Step 3: Cross multiply
    6,106.80x = 9,781.70 × 9,781.70
  4. Step 4: Simplify right side
    6,106.80x = 95,681,639.61
  5. Step 5: Solve for x
    x = 95,681,639.61/6,106.80
  6. Step 6: Final answer
    x = 15,668.05

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