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Finding the Third Proportional to 48,740 and 73,470

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Solution

The third proportional to 48,740 and 73,470 is: 110,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,740 : 73,470 = 73,470 : x
  2. Step 2: Convert to fraction form
    48,740/73,470 = 73,470/x
  3. Step 3: Cross multiply
    48,740x = 73,470 × 73,470
  4. Step 4: Simplify right side
    48,740x = 5,397,840,900
  5. Step 5: Solve for x
    x = 5,397,840,900/48,740
  6. Step 6: Final answer
    x = 110,747.66

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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.