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Finding the Third Proportional to 36,075.38 and 48,149.44

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Solution

The third proportional to 36,075.38 and 48,149.44 is: 64,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,075.38 : 48,149.44 = 48,149.44 : x
  2. Step 2: Convert to fraction form
    36,075.38/48,149.44 = 48,149.44/x
  3. Step 3: Cross multiply
    36,075.38x = 48,149.44 × 48,149.44
  4. Step 4: Simplify right side
    36,075.38x = 2,318,368,331.57
  5. Step 5: Solve for x
    x = 2,318,368,331.57/36,075.38
  6. Step 6: Final answer
    x = 64,264.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.