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Finding the Third Proportional to 7,756.88 and 16,743.66

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Solution

The third proportional to 7,756.88 and 16,743.66 is: 36,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.88 : 16,743.66 = 16,743.66 : x
  2. Step 2: Convert to fraction form
    7,756.88/16,743.66 = 16,743.66/x
  3. Step 3: Cross multiply
    7,756.88x = 16,743.66 × 16,743.66
  4. Step 4: Simplify right side
    7,756.88x = 280,350,024.62
  5. Step 5: Solve for x
    x = 280,350,024.62/7,756.88
  6. Step 6: Final answer
    x = 36,142.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.