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Finding the Third Proportional to 24,247 and 32,745

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Solution

The third proportional to 24,247 and 32,745 is: 44,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,247 : 32,745 = 32,745 : x
  2. Step 2: Convert to fraction form
    24,247/32,745 = 32,745/x
  3. Step 3: Cross multiply
    24,247x = 32,745 × 32,745
  4. Step 4: Simplify right side
    24,247x = 1,072,235,025
  5. Step 5: Solve for x
    x = 1,072,235,025/24,247
  6. Step 6: Final answer
    x = 44,221.35

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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.