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Finding the Third Proportional to 7,246.13 and 17,494.31

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Solution

The third proportional to 7,246.13 and 17,494.31 is: 42,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.13 : 17,494.31 = 17,494.31 : x
  2. Step 2: Convert to fraction form
    7,246.13/17,494.31 = 17,494.31/x
  3. Step 3: Cross multiply
    7,246.13x = 17,494.31 × 17,494.31
  4. Step 4: Simplify right side
    7,246.13x = 306,050,969.85
  5. Step 5: Solve for x
    x = 306,050,969.85/7,246.13
  6. Step 6: Final answer
    x = 42,236.50

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.