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Finding the Third Proportional to 18,918 and 29,612.25

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Solution

The third proportional to 18,918 and 29,612.25 is: 46,351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,918 : 29,612.25 = 29,612.25 : x
  2. Step 2: Convert to fraction form
    18,918/29,612.25 = 29,612.25/x
  3. Step 3: Cross multiply
    18,918x = 29,612.25 × 29,612.25
  4. Step 4: Simplify right side
    18,918x = 876,885,350.06
  5. Step 5: Solve for x
    x = 876,885,350.06/18,918
  6. Step 6: Final answer
    x = 46,351.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.