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Finding the Third Proportional to 6,931.20 and 15,246.35

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Solution

The third proportional to 6,931.20 and 15,246.35 is: 33,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.20 : 15,246.35 = 15,246.35 : x
  2. Step 2: Convert to fraction form
    6,931.20/15,246.35 = 15,246.35/x
  3. Step 3: Cross multiply
    6,931.20x = 15,246.35 × 15,246.35
  4. Step 4: Simplify right side
    6,931.20x = 232,451,235.97
  5. Step 5: Solve for x
    x = 232,451,235.97/6,931.20
  6. Step 6: Final answer
    x = 33,536.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.