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Finding the Third Proportional to 7,497 and 13,329

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Solution

The third proportional to 7,497 and 13,329 is: 23,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497 : 13,329 = 13,329 : x
  2. Step 2: Convert to fraction form
    7,497/13,329 = 13,329/x
  3. Step 3: Cross multiply
    7,497x = 13,329 × 13,329
  4. Step 4: Simplify right side
    7,497x = 177,662,241
  5. Step 5: Solve for x
    x = 177,662,241/7,497
  6. Step 6: Final answer
    x = 23,697.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.