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Finding the Third Proportional to 3,232.13 and 5,146.31

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Solution

The third proportional to 3,232.13 and 5,146.31 is: 8,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.13 : 5,146.31 = 5,146.31 : x
  2. Step 2: Convert to fraction form
    3,232.13/5,146.31 = 5,146.31/x
  3. Step 3: Cross multiply
    3,232.13x = 5,146.31 × 5,146.31
  4. Step 4: Simplify right side
    3,232.13x = 26,484,532.35
  5. Step 5: Solve for x
    x = 26,484,532.35/3,232.13
  6. Step 6: Final answer
    x = 8,194.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.