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Finding the Third Proportional to 24,057 and 32,109

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Solution

The third proportional to 24,057 and 32,109 is: 42,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057 : 32,109 = 32,109 : x
  2. Step 2: Convert to fraction form
    24,057/32,109 = 32,109/x
  3. Step 3: Cross multiply
    24,057x = 32,109 × 32,109
  4. Step 4: Simplify right side
    24,057x = 1,030,987,881
  5. Step 5: Solve for x
    x = 1,030,987,881/24,057
  6. Step 6: Final answer
    x = 42,856.05

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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.