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Finding the Third Proportional to 21,452 and 32,338

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Solution

The third proportional to 21,452 and 32,338 is: 48,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452 : 32,338 = 32,338 : x
  2. Step 2: Convert to fraction form
    21,452/32,338 = 32,338/x
  3. Step 3: Cross multiply
    21,452x = 32,338 × 32,338
  4. Step 4: Simplify right side
    21,452x = 1,045,746,244
  5. Step 5: Solve for x
    x = 1,045,746,244/21,452
  6. Step 6: Final answer
    x = 48,748.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.