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Finding the Third Proportional to 48,296 and 72,750

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Solution

The third proportional to 48,296 and 72,750 is: 109,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,296 : 72,750 = 72,750 : x
  2. Step 2: Convert to fraction form
    48,296/72,750 = 72,750/x
  3. Step 3: Cross multiply
    48,296x = 72,750 × 72,750
  4. Step 4: Simplify right side
    48,296x = 5,292,562,500
  5. Step 5: Solve for x
    x = 5,292,562,500/48,296
  6. Step 6: Final answer
    x = 109,585.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.