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Finding the Third Proportional to 38,801.50 and 61,995

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Solution

The third proportional to 38,801.50 and 61,995 is: 99,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,801.50 : 61,995 = 61,995 : x
  2. Step 2: Convert to fraction form
    38,801.50/61,995 = 61,995/x
  3. Step 3: Cross multiply
    38,801.50x = 61,995 × 61,995
  4. Step 4: Simplify right side
    38,801.50x = 3,843,380,025
  5. Step 5: Solve for x
    x = 3,843,380,025/38,801.50
  6. Step 6: Final answer
    x = 99,052.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.