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Finding the Third Proportional to 4,725.84 and 8,127.84

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Solution

The third proportional to 4,725.84 and 8,127.84 is: 13,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.84 : 8,127.84 = 8,127.84 : x
  2. Step 2: Convert to fraction form
    4,725.84/8,127.84 = 8,127.84/x
  3. Step 3: Cross multiply
    4,725.84x = 8,127.84 × 8,127.84
  4. Step 4: Simplify right side
    4,725.84x = 66,061,844.02
  5. Step 5: Solve for x
    x = 66,061,844.02/4,725.84
  6. Step 6: Final answer
    x = 13,978.85

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.