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Finding the Third Proportional to 12,658.78 and 27,502.03

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Solution

The third proportional to 12,658.78 and 27,502.03 is: 59,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.78 : 27,502.03 = 27,502.03 : x
  2. Step 2: Convert to fraction form
    12,658.78/27,502.03 = 27,502.03/x
  3. Step 3: Cross multiply
    12,658.78x = 27,502.03 × 27,502.03
  4. Step 4: Simplify right side
    12,658.78x = 756,361,722.88
  5. Step 5: Solve for x
    x = 756,361,722.88/12,658.78
  6. Step 6: Final answer
    x = 59,749.96

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