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Finding the Third Proportional to 5,427 and 8,139

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Solution

The third proportional to 5,427 and 8,139 is: 12,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427 : 8,139 = 8,139 : x
  2. Step 2: Convert to fraction form
    5,427/8,139 = 8,139/x
  3. Step 3: Cross multiply
    5,427x = 8,139 × 8,139
  4. Step 4: Simplify right side
    5,427x = 66,243,321
  5. Step 5: Solve for x
    x = 66,243,321/5,427
  6. Step 6: Final answer
    x = 12,206.25

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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.