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Finding the Third Proportional to 12,932.16 and 18,885.66

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Solution

The third proportional to 12,932.16 and 18,885.66 is: 27,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.16 : 18,885.66 = 18,885.66 : x
  2. Step 2: Convert to fraction form
    12,932.16/18,885.66 = 18,885.66/x
  3. Step 3: Cross multiply
    12,932.16x = 18,885.66 × 18,885.66
  4. Step 4: Simplify right side
    12,932.16x = 356,668,011.99
  5. Step 5: Solve for x
    x = 356,668,011.99/12,932.16
  6. Step 6: Final answer
    x = 27,579.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.