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Finding the Third Proportional to 15,832 and 22,520

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Solution

The third proportional to 15,832 and 22,520 is: 32,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832 : 22,520 = 22,520 : x
  2. Step 2: Convert to fraction form
    15,832/22,520 = 22,520/x
  3. Step 3: Cross multiply
    15,832x = 22,520 × 22,520
  4. Step 4: Simplify right side
    15,832x = 507,150,400
  5. Step 5: Solve for x
    x = 507,150,400/15,832
  6. Step 6: Final answer
    x = 32,033.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.