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Finding the Third Proportional to 24,293.25 and 32,285.25

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Solution

The third proportional to 24,293.25 and 32,285.25 is: 42,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,293.25 : 32,285.25 = 32,285.25 : x
  2. Step 2: Convert to fraction form
    24,293.25/32,285.25 = 32,285.25/x
  3. Step 3: Cross multiply
    24,293.25x = 32,285.25 × 32,285.25
  4. Step 4: Simplify right side
    24,293.25x = 1,042,337,367.56
  5. Step 5: Solve for x
    x = 1,042,337,367.56/24,293.25
  6. Step 6: Final answer
    x = 42,906.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.