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Finding the Third Proportional to 24,222 and 32,715

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Solution

The third proportional to 24,222 and 32,715 is: 44,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,222 : 32,715 = 32,715 : x
  2. Step 2: Convert to fraction form
    24,222/32,715 = 32,715/x
  3. Step 3: Cross multiply
    24,222x = 32,715 × 32,715
  4. Step 4: Simplify right side
    24,222x = 1,070,271,225
  5. Step 5: Solve for x
    x = 1,070,271,225/24,222
  6. Step 6: Final answer
    x = 44,185.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.