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Finding the Third Proportional to 48,500 and 74,752

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Solution

The third proportional to 48,500 and 74,752 is: 115,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,500 : 74,752 = 74,752 : x
  2. Step 2: Convert to fraction form
    48,500/74,752 = 74,752/x
  3. Step 3: Cross multiply
    48,500x = 74,752 × 74,752
  4. Step 4: Simplify right side
    48,500x = 5,587,861,504
  5. Step 5: Solve for x
    x = 5,587,861,504/48,500
  6. Step 6: Final answer
    x = 115,213.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.