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Finding the Third Proportional to 4,337.88 and 6,142.25

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Solution

The third proportional to 4,337.88 and 6,142.25 is: 8,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.88 : 6,142.25 = 6,142.25 : x
  2. Step 2: Convert to fraction form
    4,337.88/6,142.25 = 6,142.25/x
  3. Step 3: Cross multiply
    4,337.88x = 6,142.25 × 6,142.25
  4. Step 4: Simplify right side
    4,337.88x = 37,727,235.06
  5. Step 5: Solve for x
    x = 37,727,235.06/4,337.88
  6. Step 6: Final answer
    x = 8,697.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.