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Finding the Third Proportional to 2,092.50 and 2,869.22

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Solution

The third proportional to 2,092.50 and 2,869.22 is: 3,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.50 : 2,869.22 = 2,869.22 : x
  2. Step 2: Convert to fraction form
    2,092.50/2,869.22 = 2,869.22/x
  3. Step 3: Cross multiply
    2,092.50x = 2,869.22 × 2,869.22
  4. Step 4: Simplify right side
    2,092.50x = 8,232,416.24
  5. Step 5: Solve for x
    x = 8,232,416.24/2,092.50
  6. Step 6: Final answer
    x = 3,934.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.