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Finding the Third Proportional to 24,165 and 32,478.75

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Solution

The third proportional to 24,165 and 32,478.75 is: 43,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165 : 32,478.75 = 32,478.75 : x
  2. Step 2: Convert to fraction form
    24,165/32,478.75 = 32,478.75/x
  3. Step 3: Cross multiply
    24,165x = 32,478.75 × 32,478.75
  4. Step 4: Simplify right side
    24,165x = 1,054,869,201.56
  5. Step 5: Solve for x
    x = 1,054,869,201.56/24,165
  6. Step 6: Final answer
    x = 43,652.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.