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Finding the Third Proportional to 5,586 and 6,402

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Solution

The third proportional to 5,586 and 6,402 is: 7,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586 : 6,402 = 6,402 : x
  2. Step 2: Convert to fraction form
    5,586/6,402 = 6,402/x
  3. Step 3: Cross multiply
    5,586x = 6,402 × 6,402
  4. Step 4: Simplify right side
    5,586x = 40,985,604
  5. Step 5: Solve for x
    x = 40,985,604/5,586
  6. Step 6: Final answer
    x = 7,337.20

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.