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Finding the Third Proportional to 6,024.38 and 12,972.66

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Solution

The third proportional to 6,024.38 and 12,972.66 is: 27,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.38 : 12,972.66 = 12,972.66 : x
  2. Step 2: Convert to fraction form
    6,024.38/12,972.66 = 12,972.66/x
  3. Step 3: Cross multiply
    6,024.38x = 12,972.66 × 12,972.66
  4. Step 4: Simplify right side
    6,024.38x = 168,289,810.18
  5. Step 5: Solve for x
    x = 168,289,810.18/6,024.38
  6. Step 6: Final answer
    x = 27,934.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.