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Finding the Third Proportional to 23,800.50 and 33,432.75

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Solution

The third proportional to 23,800.50 and 33,432.75 is: 46,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.50 : 33,432.75 = 33,432.75 : x
  2. Step 2: Convert to fraction form
    23,800.50/33,432.75 = 33,432.75/x
  3. Step 3: Cross multiply
    23,800.50x = 33,432.75 × 33,432.75
  4. Step 4: Simplify right side
    23,800.50x = 1,117,748,772.56
  5. Step 5: Solve for x
    x = 1,117,748,772.56/23,800.50
  6. Step 6: Final answer
    x = 46,963.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.