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Finding the Third Proportional to 22,790.25 and 34,983.75

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Solution

The third proportional to 22,790.25 and 34,983.75 is: 53,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,790.25 : 34,983.75 = 34,983.75 : x
  2. Step 2: Convert to fraction form
    22,790.25/34,983.75 = 34,983.75/x
  3. Step 3: Cross multiply
    22,790.25x = 34,983.75 × 34,983.75
  4. Step 4: Simplify right side
    22,790.25x = 1,223,862,764.06
  5. Step 5: Solve for x
    x = 1,223,862,764.06/22,790.25
  6. Step 6: Final answer
    x = 53,701.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.