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Finding the Third Proportional to 6,898 and 9,402

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Solution

The third proportional to 6,898 and 9,402 is: 12,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898 : 9,402 = 9,402 : x
  2. Step 2: Convert to fraction form
    6,898/9,402 = 9,402/x
  3. Step 3: Cross multiply
    6,898x = 9,402 × 9,402
  4. Step 4: Simplify right side
    6,898x = 88,397,604
  5. Step 5: Solve for x
    x = 88,397,604/6,898
  6. Step 6: Final answer
    x = 12,814.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.