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Finding the Third Proportional to 12,481 and 27,306.50

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Solution

The third proportional to 12,481 and 27,306.50 is: 59,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,481 : 27,306.50 = 27,306.50 : x
  2. Step 2: Convert to fraction form
    12,481/27,306.50 = 27,306.50/x
  3. Step 3: Cross multiply
    12,481x = 27,306.50 × 27,306.50
  4. Step 4: Simplify right side
    12,481x = 745,644,942.25
  5. Step 5: Solve for x
    x = 745,644,942.25/12,481
  6. Step 6: Final answer
    x = 59,742.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.