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Finding the Third Proportional to 4,091 and 7,750

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Solution

The third proportional to 4,091 and 7,750 is: 14,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091 : 7,750 = 7,750 : x
  2. Step 2: Convert to fraction form
    4,091/7,750 = 7,750/x
  3. Step 3: Cross multiply
    4,091x = 7,750 × 7,750
  4. Step 4: Simplify right side
    4,091x = 60,062,500
  5. Step 5: Solve for x
    x = 60,062,500/4,091
  6. Step 6: Final answer
    x = 14,681.62

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.