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Finding the Third Proportional to 23,984.25 and 36,311.25

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Solution

The third proportional to 23,984.25 and 36,311.25 is: 54,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984.25 : 36,311.25 = 36,311.25 : x
  2. Step 2: Convert to fraction form
    23,984.25/36,311.25 = 36,311.25/x
  3. Step 3: Cross multiply
    23,984.25x = 36,311.25 × 36,311.25
  4. Step 4: Simplify right side
    23,984.25x = 1,318,506,876.56
  5. Step 5: Solve for x
    x = 1,318,506,876.56/23,984.25
  6. Step 6: Final answer
    x = 54,973.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.