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Finding the Third Proportional to 4,767.47 and 6,877.83

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Solution

The third proportional to 4,767.47 and 6,877.83 is: 9,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.47 : 6,877.83 = 6,877.83 : x
  2. Step 2: Convert to fraction form
    4,767.47/6,877.83 = 6,877.83/x
  3. Step 3: Cross multiply
    4,767.47x = 6,877.83 × 6,877.83
  4. Step 4: Simplify right side
    4,767.47x = 47,304,519.72
  5. Step 5: Solve for x
    x = 47,304,519.72/4,767.47
  6. Step 6: Final answer
    x = 9,922.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.