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Finding the Third Proportional to 3,215.95 and 6,974.86

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Solution

The third proportional to 3,215.95 and 6,974.86 is: 15,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.95 : 6,974.86 = 6,974.86 : x
  2. Step 2: Convert to fraction form
    3,215.95/6,974.86 = 6,974.86/x
  3. Step 3: Cross multiply
    3,215.95x = 6,974.86 × 6,974.86
  4. Step 4: Simplify right side
    3,215.95x = 48,648,663.30
  5. Step 5: Solve for x
    x = 48,648,663.30/3,215.95
  6. Step 6: Final answer
    x = 15,127.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.