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Finding the Third Proportional to 22,288.25 and 32,750

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Solution

The third proportional to 22,288.25 and 32,750 is: 48,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,288.25 : 32,750 = 32,750 : x
  2. Step 2: Convert to fraction form
    22,288.25/32,750 = 32,750/x
  3. Step 3: Cross multiply
    22,288.25x = 32,750 × 32,750
  4. Step 4: Simplify right side
    22,288.25x = 1,072,562,500
  5. Step 5: Solve for x
    x = 1,072,562,500/22,288.25
  6. Step 6: Final answer
    x = 48,122.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.