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Finding the Third Proportional to 1,909.38 and 4,127.25

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Solution

The third proportional to 1,909.38 and 4,127.25 is: 8,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.38 : 4,127.25 = 4,127.25 : x
  2. Step 2: Convert to fraction form
    1,909.38/4,127.25 = 4,127.25/x
  3. Step 3: Cross multiply
    1,909.38x = 4,127.25 × 4,127.25
  4. Step 4: Simplify right side
    1,909.38x = 17,034,192.56
  5. Step 5: Solve for x
    x = 17,034,192.56/1,909.38
  6. Step 6: Final answer
    x = 8,921.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.