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Finding the Third Proportional to 43,282.88 and 67,658.06

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Solution

The third proportional to 43,282.88 and 67,658.06 is: 105,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,282.88 : 67,658.06 = 67,658.06 : x
  2. Step 2: Convert to fraction form
    43,282.88/67,658.06 = 67,658.06/x
  3. Step 3: Cross multiply
    43,282.88x = 67,658.06 × 67,658.06
  4. Step 4: Simplify right side
    43,282.88x = 4,577,613,421.25
  5. Step 5: Solve for x
    x = 4,577,613,421.25/43,282.88
  6. Step 6: Final answer
    x = 105,760.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.