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Finding the Third Proportional to 1,577 and 2,127

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Solution

The third proportional to 1,577 and 2,127 is: 2,868.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577 : 2,127 = 2,127 : x
  2. Step 2: Convert to fraction form
    1,577/2,127 = 2,127/x
  3. Step 3: Cross multiply
    1,577x = 2,127 × 2,127
  4. Step 4: Simplify right side
    1,577x = 4,524,129
  5. Step 5: Solve for x
    x = 4,524,129/1,577
  6. Step 6: Final answer
    x = 2,868.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.