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Finding the Third Proportional to 48,765 and 72,828

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Solution

The third proportional to 48,765 and 72,828 is: 108,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,765 : 72,828 = 72,828 : x
  2. Step 2: Convert to fraction form
    48,765/72,828 = 72,828/x
  3. Step 3: Cross multiply
    48,765x = 72,828 × 72,828
  4. Step 4: Simplify right side
    48,765x = 5,303,917,584
  5. Step 5: Solve for x
    x = 5,303,917,584/48,765
  6. Step 6: Final answer
    x = 108,764.84

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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.