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Finding the Third Proportional to 22,801.50 and 36,424.50

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Solution

The third proportional to 22,801.50 and 36,424.50 is: 58,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.50 : 36,424.50 = 36,424.50 : x
  2. Step 2: Convert to fraction form
    22,801.50/36,424.50 = 36,424.50/x
  3. Step 3: Cross multiply
    22,801.50x = 36,424.50 × 36,424.50
  4. Step 4: Simplify right side
    22,801.50x = 1,326,744,200.25
  5. Step 5: Solve for x
    x = 1,326,744,200.25/22,801.50
  6. Step 6: Final answer
    x = 58,186.71

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