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Finding the Third Proportional to 4,712 and 5,132

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Solution

The third proportional to 4,712 and 5,132 is: 5,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712 : 5,132 = 5,132 : x
  2. Step 2: Convert to fraction form
    4,712/5,132 = 5,132/x
  3. Step 3: Cross multiply
    4,712x = 5,132 × 5,132
  4. Step 4: Simplify right side
    4,712x = 26,337,424
  5. Step 5: Solve for x
    x = 26,337,424/4,712
  6. Step 6: Final answer
    x = 5,589.44

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.