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Finding the Third Proportional to 22,466 and 32,888

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Solution

The third proportional to 22,466 and 32,888 is: 48,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,466 : 32,888 = 32,888 : x
  2. Step 2: Convert to fraction form
    22,466/32,888 = 32,888/x
  3. Step 3: Cross multiply
    22,466x = 32,888 × 32,888
  4. Step 4: Simplify right side
    22,466x = 1,081,620,544
  5. Step 5: Solve for x
    x = 1,081,620,544/22,466
  6. Step 6: Final answer
    x = 48,144.78

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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.