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Finding the Third Proportional to 3,942 and 8,597

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Solution

The third proportional to 3,942 and 8,597 is: 18,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942 : 8,597 = 8,597 : x
  2. Step 2: Convert to fraction form
    3,942/8,597 = 8,597/x
  3. Step 3: Cross multiply
    3,942x = 8,597 × 8,597
  4. Step 4: Simplify right side
    3,942x = 73,908,409
  5. Step 5: Solve for x
    x = 73,908,409/3,942
  6. Step 6: Final answer
    x = 18,748.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.