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Finding the Third Proportional to 40,398.75 and 54,344.67

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Solution

The third proportional to 40,398.75 and 54,344.67 is: 73,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,398.75 : 54,344.67 = 54,344.67 : x
  2. Step 2: Convert to fraction form
    40,398.75/54,344.67 = 54,344.67/x
  3. Step 3: Cross multiply
    40,398.75x = 54,344.67 × 54,344.67
  4. Step 4: Simplify right side
    40,398.75x = 2,953,343,361.20
  5. Step 5: Solve for x
    x = 2,953,343,361.20/40,398.75
  6. Step 6: Final answer
    x = 73,104.82

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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.