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Finding the Third Proportional to 4,902.75 and 7,867.13

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Solution

The third proportional to 4,902.75 and 7,867.13 is: 12,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.75 : 7,867.13 = 7,867.13 : x
  2. Step 2: Convert to fraction form
    4,902.75/7,867.13 = 7,867.13/x
  3. Step 3: Cross multiply
    4,902.75x = 7,867.13 × 7,867.13
  4. Step 4: Simplify right side
    4,902.75x = 61,891,655.77
  5. Step 5: Solve for x
    x = 61,891,655.77/4,902.75
  6. Step 6: Final answer
    x = 12,623.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.