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Finding the Third Proportional to 22,801.50 and 29,092.50

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Solution

The third proportional to 22,801.50 and 29,092.50 is: 37,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.50 : 29,092.50 = 29,092.50 : x
  2. Step 2: Convert to fraction form
    22,801.50/29,092.50 = 29,092.50/x
  3. Step 3: Cross multiply
    22,801.50x = 29,092.50 × 29,092.50
  4. Step 4: Simplify right side
    22,801.50x = 846,373,556.25
  5. Step 5: Solve for x
    x = 846,373,556.25/22,801.50
  6. Step 6: Final answer
    x = 37,119.21

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.