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Finding the Third Proportional to 5,715 and 12,113

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Solution

The third proportional to 5,715 and 12,113 is: 25,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715 : 12,113 = 12,113 : x
  2. Step 2: Convert to fraction form
    5,715/12,113 = 12,113/x
  3. Step 3: Cross multiply
    5,715x = 12,113 × 12,113
  4. Step 4: Simplify right side
    5,715x = 146,724,769
  5. Step 5: Solve for x
    x = 146,724,769/5,715
  6. Step 6: Final answer
    x = 25,673.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.