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Finding the Third Proportional to 7,350 and 10,496

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Solution

The third proportional to 7,350 and 10,496 is: 14,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350 : 10,496 = 10,496 : x
  2. Step 2: Convert to fraction form
    7,350/10,496 = 10,496/x
  3. Step 3: Cross multiply
    7,350x = 10,496 × 10,496
  4. Step 4: Simplify right side
    7,350x = 110,166,016
  5. Step 5: Solve for x
    x = 110,166,016/7,350
  6. Step 6: Final answer
    x = 14,988.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.