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Finding the Third Proportional to 42,324.75 and 56,184.75

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Solution

The third proportional to 42,324.75 and 56,184.75 is: 74,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,324.75 : 56,184.75 = 56,184.75 : x
  2. Step 2: Convert to fraction form
    42,324.75/56,184.75 = 56,184.75/x
  3. Step 3: Cross multiply
    42,324.75x = 56,184.75 × 56,184.75
  4. Step 4: Simplify right side
    42,324.75x = 3,156,726,132.56
  5. Step 5: Solve for x
    x = 3,156,726,132.56/42,324.75
  6. Step 6: Final answer
    x = 74,583.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.