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Finding the Third Proportional to 2,462.51 and 3,232.45

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Solution

The third proportional to 2,462.51 and 3,232.45 is: 4,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.51 : 3,232.45 = 3,232.45 : x
  2. Step 2: Convert to fraction form
    2,462.51/3,232.45 = 3,232.45/x
  3. Step 3: Cross multiply
    2,462.51x = 3,232.45 × 3,232.45
  4. Step 4: Simplify right side
    2,462.51x = 10,448,705.85
  5. Step 5: Solve for x
    x = 10,448,705.85/2,462.51
  6. Step 6: Final answer
    x = 4,243.11

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.