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Finding the Third Proportional to 48,832.88 and 73,401.19

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Solution

The third proportional to 48,832.88 and 73,401.19 is: 110,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,832.88 : 73,401.19 = 73,401.19 : x
  2. Step 2: Convert to fraction form
    48,832.88/73,401.19 = 73,401.19/x
  3. Step 3: Cross multiply
    48,832.88x = 73,401.19 × 73,401.19
  4. Step 4: Simplify right side
    48,832.88x = 5,387,734,326.41
  5. Step 5: Solve for x
    x = 5,387,734,326.41/48,832.88
  6. Step 6: Final answer
    x = 110,330.07

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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.