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Finding the Third Proportional to 48,980 and 72,750

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Solution

The third proportional to 48,980 and 72,750 is: 108,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,980 : 72,750 = 72,750 : x
  2. Step 2: Convert to fraction form
    48,980/72,750 = 72,750/x
  3. Step 3: Cross multiply
    48,980x = 72,750 × 72,750
  4. Step 4: Simplify right side
    48,980x = 5,292,562,500
  5. Step 5: Solve for x
    x = 5,292,562,500/48,980
  6. Step 6: Final answer
    x = 108,055.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.