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Finding the Third Proportional to 2,877.61 and 6,369.47

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Solution

The third proportional to 2,877.61 and 6,369.47 is: 14,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.61 : 6,369.47 = 6,369.47 : x
  2. Step 2: Convert to fraction form
    2,877.61/6,369.47 = 6,369.47/x
  3. Step 3: Cross multiply
    2,877.61x = 6,369.47 × 6,369.47
  4. Step 4: Simplify right side
    2,877.61x = 40,570,132.16
  5. Step 5: Solve for x
    x = 40,570,132.16/2,877.61
  6. Step 6: Final answer
    x = 14,098.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.