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Finding the Third Proportional to 1,127.25 and 1,551.66

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Solution

The third proportional to 1,127.25 and 1,551.66 is: 2,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.25 : 1,551.66 = 1,551.66 : x
  2. Step 2: Convert to fraction form
    1,127.25/1,551.66 = 1,551.66/x
  3. Step 3: Cross multiply
    1,127.25x = 1,551.66 × 1,551.66
  4. Step 4: Simplify right side
    1,127.25x = 2,407,637.12
  5. Step 5: Solve for x
    x = 2,407,637.12/1,127.25
  6. Step 6: Final answer
    x = 2,135.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.