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Finding the Third Proportional to 22,496 and 32,926

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Solution

The third proportional to 22,496 and 32,926 is: 48,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496 : 32,926 = 32,926 : x
  2. Step 2: Convert to fraction form
    22,496/32,926 = 32,926/x
  3. Step 3: Cross multiply
    22,496x = 32,926 × 32,926
  4. Step 4: Simplify right side
    22,496x = 1,084,121,476
  5. Step 5: Solve for x
    x = 1,084,121,476/22,496
  6. Step 6: Final answer
    x = 48,191.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.