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Finding the Third Proportional to 4,974.47 and 6,759.84

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Solution

The third proportional to 4,974.47 and 6,759.84 is: 9,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.47 : 6,759.84 = 6,759.84 : x
  2. Step 2: Convert to fraction form
    4,974.47/6,759.84 = 6,759.84/x
  3. Step 3: Cross multiply
    4,974.47x = 6,759.84 × 6,759.84
  4. Step 4: Simplify right side
    4,974.47x = 45,695,487.52
  5. Step 5: Solve for x
    x = 45,695,487.52/4,974.47
  6. Step 6: Final answer
    x = 9,186.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.