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Finding the Third Proportional to 7,497 and 10,398

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Solution

The third proportional to 7,497 and 10,398 is: 14,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497 : 10,398 = 10,398 : x
  2. Step 2: Convert to fraction form
    7,497/10,398 = 10,398/x
  3. Step 3: Cross multiply
    7,497x = 10,398 × 10,398
  4. Step 4: Simplify right side
    7,497x = 108,118,404
  5. Step 5: Solve for x
    x = 108,118,404/7,497
  6. Step 6: Final answer
    x = 14,421.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.