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Finding the Third Proportional to 22,435.31 and 35,197.88

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Solution

The third proportional to 22,435.31 and 35,197.88 is: 55,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,435.31 : 35,197.88 = 35,197.88 : x
  2. Step 2: Convert to fraction form
    22,435.31/35,197.88 = 35,197.88/x
  3. Step 3: Cross multiply
    22,435.31x = 35,197.88 × 35,197.88
  4. Step 4: Simplify right side
    22,435.31x = 1,238,890,404.52
  5. Step 5: Solve for x
    x = 1,238,890,404.52/22,435.31
  6. Step 6: Final answer
    x = 55,220.55

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Why These Related Problems?

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