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Finding the Third Proportional to 12,678.38 and 18,658.88

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Solution

The third proportional to 12,678.38 and 18,658.88 is: 27,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.38 : 18,658.88 = 18,658.88 : x
  2. Step 2: Convert to fraction form
    12,678.38/18,658.88 = 18,658.88/x
  3. Step 3: Cross multiply
    12,678.38x = 18,658.88 × 18,658.88
  4. Step 4: Simplify right side
    12,678.38x = 348,153,616.27
  5. Step 5: Solve for x
    x = 348,153,616.27/12,678.38
  6. Step 6: Final answer
    x = 27,460.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.