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Finding the Third Proportional to 6,972.96 and 15,176.11

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Solution

The third proportional to 6,972.96 and 15,176.11 is: 33,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.96 : 15,176.11 = 15,176.11 : x
  2. Step 2: Convert to fraction form
    6,972.96/15,176.11 = 15,176.11/x
  3. Step 3: Cross multiply
    6,972.96x = 15,176.11 × 15,176.11
  4. Step 4: Simplify right side
    6,972.96x = 230,314,295.76
  5. Step 5: Solve for x
    x = 230,314,295.76/6,972.96
  6. Step 6: Final answer
    x = 33,029.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.