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Finding the Third Proportional to 20,424 and 32,522

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Solution

The third proportional to 20,424 and 32,522 is: 51,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424 : 32,522 = 32,522 : x
  2. Step 2: Convert to fraction form
    20,424/32,522 = 32,522/x
  3. Step 3: Cross multiply
    20,424x = 32,522 × 32,522
  4. Step 4: Simplify right side
    20,424x = 1,057,680,484
  5. Step 5: Solve for x
    x = 1,057,680,484/20,424
  6. Step 6: Final answer
    x = 51,786.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.