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Finding the Third Proportional to 36,378.50 and 54,702.50

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Solution

The third proportional to 36,378.50 and 54,702.50 is: 82,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,378.50 : 54,702.50 = 54,702.50 : x
  2. Step 2: Convert to fraction form
    36,378.50/54,702.50 = 54,702.50/x
  3. Step 3: Cross multiply
    36,378.50x = 54,702.50 × 54,702.50
  4. Step 4: Simplify right side
    36,378.50x = 2,992,363,506.25
  5. Step 5: Solve for x
    x = 2,992,363,506.25/36,378.50
  6. Step 6: Final answer
    x = 82,256.37

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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.