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Finding the Third Proportional to 12,478.78 and 27,144.42

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Solution

The third proportional to 12,478.78 and 27,144.42 is: 59,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.78 : 27,144.42 = 27,144.42 : x
  2. Step 2: Convert to fraction form
    12,478.78/27,144.42 = 27,144.42/x
  3. Step 3: Cross multiply
    12,478.78x = 27,144.42 × 27,144.42
  4. Step 4: Simplify right side
    12,478.78x = 736,819,638.93
  5. Step 5: Solve for x
    x = 736,819,638.93/12,478.78
  6. Step 6: Final answer
    x = 59,045.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.