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Finding the Third Proportional to 32,467.75 and 48,570.75

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Solution

The third proportional to 32,467.75 and 48,570.75 is: 72,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467.75 : 48,570.75 = 48,570.75 : x
  2. Step 2: Convert to fraction form
    32,467.75/48,570.75 = 48,570.75/x
  3. Step 3: Cross multiply
    32,467.75x = 48,570.75 × 48,570.75
  4. Step 4: Simplify right side
    32,467.75x = 2,359,117,755.56
  5. Step 5: Solve for x
    x = 2,359,117,755.56/32,467.75
  6. Step 6: Final answer
    x = 72,660.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.