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Finding the Third Proportional to 5,642 and 6,254

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Solution

The third proportional to 5,642 and 6,254 is: 6,932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642 : 6,254 = 6,254 : x
  2. Step 2: Convert to fraction form
    5,642/6,254 = 6,254/x
  3. Step 3: Cross multiply
    5,642x = 6,254 × 6,254
  4. Step 4: Simplify right side
    5,642x = 39,112,516
  5. Step 5: Solve for x
    x = 39,112,516/5,642
  6. Step 6: Final answer
    x = 6,932.38

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.