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Finding the Third Proportional to 1,427 and 2,650

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Solution

The third proportional to 1,427 and 2,650 is: 4,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427 : 2,650 = 2,650 : x
  2. Step 2: Convert to fraction form
    1,427/2,650 = 2,650/x
  3. Step 3: Cross multiply
    1,427x = 2,650 × 2,650
  4. Step 4: Simplify right side
    1,427x = 7,022,500
  5. Step 5: Solve for x
    x = 7,022,500/1,427
  6. Step 6: Final answer
    x = 4,921.16

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.