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Finding the Third Proportional to 20,022.75 and 29,895.75

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Solution

The third proportional to 20,022.75 and 29,895.75 is: 44,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022.75 : 29,895.75 = 29,895.75 : x
  2. Step 2: Convert to fraction form
    20,022.75/29,895.75 = 29,895.75/x
  3. Step 3: Cross multiply
    20,022.75x = 29,895.75 × 29,895.75
  4. Step 4: Simplify right side
    20,022.75x = 893,755,868.06
  5. Step 5: Solve for x
    x = 893,755,868.06/20,022.75
  6. Step 6: Final answer
    x = 44,637.02

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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.