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Finding the Third Proportional to 12,466.88 and 18,658.13

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Solution

The third proportional to 12,466.88 and 18,658.13 is: 27,924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.88 : 18,658.13 = 18,658.13 : x
  2. Step 2: Convert to fraction form
    12,466.88/18,658.13 = 18,658.13/x
  3. Step 3: Cross multiply
    12,466.88x = 18,658.13 × 18,658.13
  4. Step 4: Simplify right side
    12,466.88x = 348,125,628.52
  5. Step 5: Solve for x
    x = 348,125,628.52/12,466.88
  6. Step 6: Final answer
    x = 27,924.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.