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Finding the Third Proportional to 48,766 and 72,830

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Solution

The third proportional to 48,766 and 72,830 is: 108,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,766 : 72,830 = 72,830 : x
  2. Step 2: Convert to fraction form
    48,766/72,830 = 72,830/x
  3. Step 3: Cross multiply
    48,766x = 72,830 × 72,830
  4. Step 4: Simplify right side
    48,766x = 5,304,208,900
  5. Step 5: Solve for x
    x = 5,304,208,900/48,766
  6. Step 6: Final answer
    x = 108,768.59

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