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Finding the Third Proportional to 12,427 and 27,216.50

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Solution

The third proportional to 12,427 and 27,216.50 is: 59,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427 : 27,216.50 = 27,216.50 : x
  2. Step 2: Convert to fraction form
    12,427/27,216.50 = 27,216.50/x
  3. Step 3: Cross multiply
    12,427x = 27,216.50 × 27,216.50
  4. Step 4: Simplify right side
    12,427x = 740,737,872.25
  5. Step 5: Solve for x
    x = 740,737,872.25/12,427
  6. Step 6: Final answer
    x = 59,607.14

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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.