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Finding the Third Proportional to 15,922 and 34,612.25

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Solution

The third proportional to 15,922 and 34,612.25 is: 75,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922 : 34,612.25 = 34,612.25 : x
  2. Step 2: Convert to fraction form
    15,922/34,612.25 = 34,612.25/x
  3. Step 3: Cross multiply
    15,922x = 34,612.25 × 34,612.25
  4. Step 4: Simplify right side
    15,922x = 1,198,007,850.06
  5. Step 5: Solve for x
    x = 1,198,007,850.06/15,922
  6. Step 6: Final answer
    x = 75,242.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.