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Finding the Third Proportional to 6,777.42 and 14,708.14

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Solution

The third proportional to 6,777.42 and 14,708.14 is: 31,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.42 : 14,708.14 = 14,708.14 : x
  2. Step 2: Convert to fraction form
    6,777.42/14,708.14 = 14,708.14/x
  3. Step 3: Cross multiply
    6,777.42x = 14,708.14 × 14,708.14
  4. Step 4: Simplify right side
    6,777.42x = 216,329,515.55
  5. Step 5: Solve for x
    x = 216,329,515.55/6,777.42
  6. Step 6: Final answer
    x = 31,919.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.