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Finding the Third Proportional to 22,265 and 29,797.50

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Solution

The third proportional to 22,265 and 29,797.50 is: 39,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265 : 29,797.50 = 29,797.50 : x
  2. Step 2: Convert to fraction form
    22,265/29,797.50 = 29,797.50/x
  3. Step 3: Cross multiply
    22,265x = 29,797.50 × 29,797.50
  4. Step 4: Simplify right side
    22,265x = 887,891,006.25
  5. Step 5: Solve for x
    x = 887,891,006.25/22,265
  6. Step 6: Final answer
    x = 39,878.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.