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Finding the Third Proportional to 7,544 and 10,748

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Solution

The third proportional to 7,544 and 10,748 is: 15,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544 : 10,748 = 10,748 : x
  2. Step 2: Convert to fraction form
    7,544/10,748 = 10,748/x
  3. Step 3: Cross multiply
    7,544x = 10,748 × 10,748
  4. Step 4: Simplify right side
    7,544x = 115,519,504
  5. Step 5: Solve for x
    x = 115,519,504/7,544
  6. Step 6: Final answer
    x = 15,312.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.