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Finding the Third Proportional to 22,412 and 32,567

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Solution

The third proportional to 22,412 and 32,567 is: 47,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412 : 32,567 = 32,567 : x
  2. Step 2: Convert to fraction form
    22,412/32,567 = 32,567/x
  3. Step 3: Cross multiply
    22,412x = 32,567 × 32,567
  4. Step 4: Simplify right side
    22,412x = 1,060,609,489
  5. Step 5: Solve for x
    x = 1,060,609,489/22,412
  6. Step 6: Final answer
    x = 47,323.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.