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Finding the Third Proportional to 22,432.50 and 33,702.75

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Solution

The third proportional to 22,432.50 and 33,702.75 is: 50,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.50 : 33,702.75 = 33,702.75 : x
  2. Step 2: Convert to fraction form
    22,432.50/33,702.75 = 33,702.75/x
  3. Step 3: Cross multiply
    22,432.50x = 33,702.75 × 33,702.75
  4. Step 4: Simplify right side
    22,432.50x = 1,135,875,357.56
  5. Step 5: Solve for x
    x = 1,135,875,357.56/22,432.50
  6. Step 6: Final answer
    x = 50,635.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.