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Finding the Third Proportional to 5,742 and 11,970

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Solution

The third proportional to 5,742 and 11,970 is: 24,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 11,970 = 11,970 : x
  2. Step 2: Convert to fraction form
    5,742/11,970 = 11,970/x
  3. Step 3: Cross multiply
    5,742x = 11,970 × 11,970
  4. Step 4: Simplify right side
    5,742x = 143,280,900
  5. Step 5: Solve for x
    x = 143,280,900/5,742
  6. Step 6: Final answer
    x = 24,953.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.