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Finding the Third Proportional to 20,948.25 and 44,895

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Solution

The third proportional to 20,948.25 and 44,895 is: 96,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,948.25 : 44,895 = 44,895 : x
  2. Step 2: Convert to fraction form
    20,948.25/44,895 = 44,895/x
  3. Step 3: Cross multiply
    20,948.25x = 44,895 × 44,895
  4. Step 4: Simplify right side
    20,948.25x = 2,015,561,025
  5. Step 5: Solve for x
    x = 2,015,561,025/20,948.25
  6. Step 6: Final answer
    x = 96,216.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.