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Finding the Third Proportional to 5,409 and 5,877

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Solution

The third proportional to 5,409 and 5,877 is: 6,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409 : 5,877 = 5,877 : x
  2. Step 2: Convert to fraction form
    5,409/5,877 = 5,877/x
  3. Step 3: Cross multiply
    5,409x = 5,877 × 5,877
  4. Step 4: Simplify right side
    5,409x = 34,539,129
  5. Step 5: Solve for x
    x = 34,539,129/5,409
  6. Step 6: Final answer
    x = 6,385.49

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.