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Finding the Third Proportional to 48,908.50 and 74,390

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Solution

The third proportional to 48,908.50 and 74,390 is: 113,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,908.50 : 74,390 = 74,390 : x
  2. Step 2: Convert to fraction form
    48,908.50/74,390 = 74,390/x
  3. Step 3: Cross multiply
    48,908.50x = 74,390 × 74,390
  4. Step 4: Simplify right side
    48,908.50x = 5,533,872,100
  5. Step 5: Solve for x
    x = 5,533,872,100/48,908.50
  6. Step 6: Final answer
    x = 113,147.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.