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Finding the Third Proportional to 22,862.25 and 34,698.38

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Solution

The third proportional to 22,862.25 and 34,698.38 is: 52,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.25 : 34,698.38 = 34,698.38 : x
  2. Step 2: Convert to fraction form
    22,862.25/34,698.38 = 34,698.38/x
  3. Step 3: Cross multiply
    22,862.25x = 34,698.38 × 34,698.38
  4. Step 4: Simplify right side
    22,862.25x = 1,203,977,227.64
  5. Step 5: Solve for x
    x = 1,203,977,227.64/22,862.25
  6. Step 6: Final answer
    x = 52,662.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.