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Finding the Third Proportional to 22,871.25 and 36,524.25

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Solution

The third proportional to 22,871.25 and 36,524.25 is: 58,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,871.25 : 36,524.25 = 36,524.25 : x
  2. Step 2: Convert to fraction form
    22,871.25/36,524.25 = 36,524.25/x
  3. Step 3: Cross multiply
    22,871.25x = 36,524.25 × 36,524.25
  4. Step 4: Simplify right side
    22,871.25x = 1,334,020,838.06
  5. Step 5: Solve for x
    x = 1,334,020,838.06/22,871.25
  6. Step 6: Final answer
    x = 58,327.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.