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Finding the Third Proportional to 22,484.25 and 32,997.38

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Solution

The third proportional to 22,484.25 and 32,997.38 is: 48,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.25 : 32,997.38 = 32,997.38 : x
  2. Step 2: Convert to fraction form
    22,484.25/32,997.38 = 32,997.38/x
  3. Step 3: Cross multiply
    22,484.25x = 32,997.38 × 32,997.38
  4. Step 4: Simplify right side
    22,484.25x = 1,088,826,756.89
  5. Step 5: Solve for x
    x = 1,088,826,756.89/22,484.25
  6. Step 6: Final answer
    x = 48,426.20

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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.