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Finding the Third Proportional to 4,972 and 5,644

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Solution

The third proportional to 4,972 and 5,644 is: 6,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972 : 5,644 = 5,644 : x
  2. Step 2: Convert to fraction form
    4,972/5,644 = 5,644/x
  3. Step 3: Cross multiply
    4,972x = 5,644 × 5,644
  4. Step 4: Simplify right side
    4,972x = 31,854,736
  5. Step 5: Solve for x
    x = 31,854,736/4,972
  6. Step 6: Final answer
    x = 6,406.83

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.