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Finding the Third Proportional to 7,714 and 9,748

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Solution

The third proportional to 7,714 and 9,748 is: 12,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714 : 9,748 = 9,748 : x
  2. Step 2: Convert to fraction form
    7,714/9,748 = 9,748/x
  3. Step 3: Cross multiply
    7,714x = 9,748 × 9,748
  4. Step 4: Simplify right side
    7,714x = 95,023,504
  5. Step 5: Solve for x
    x = 95,023,504/7,714
  6. Step 6: Final answer
    x = 12,318.32

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.