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Finding the Third Proportional to 4,127.86 and 8,053.88

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Solution

The third proportional to 4,127.86 and 8,053.88 is: 15,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.86 : 8,053.88 = 8,053.88 : x
  2. Step 2: Convert to fraction form
    4,127.86/8,053.88 = 8,053.88/x
  3. Step 3: Cross multiply
    4,127.86x = 8,053.88 × 8,053.88
  4. Step 4: Simplify right side
    4,127.86x = 64,865,044.09
  5. Step 5: Solve for x
    x = 64,865,044.09/4,127.86
  6. Step 6: Final answer
    x = 15,713.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.