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Finding the Third Proportional to 22,000 and 29,172.25

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Solution

The third proportional to 22,000 and 29,172.25 is: 38,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000 : 29,172.25 = 29,172.25 : x
  2. Step 2: Convert to fraction form
    22,000/29,172.25 = 29,172.25/x
  3. Step 3: Cross multiply
    22,000x = 29,172.25 × 29,172.25
  4. Step 4: Simplify right side
    22,000x = 851,020,170.06
  5. Step 5: Solve for x
    x = 851,020,170.06/22,000
  6. Step 6: Final answer
    x = 38,682.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.