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Finding the Third Proportional to 5,976 and 14,460

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Solution

The third proportional to 5,976 and 14,460 is: 34,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976 : 14,460 = 14,460 : x
  2. Step 2: Convert to fraction form
    5,976/14,460 = 14,460/x
  3. Step 3: Cross multiply
    5,976x = 14,460 × 14,460
  4. Step 4: Simplify right side
    5,976x = 209,091,600
  5. Step 5: Solve for x
    x = 209,091,600/5,976
  6. Step 6: Final answer
    x = 34,988.55

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.