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Finding the Third Proportional to 38,872.50 and 55,050

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Solution

The third proportional to 38,872.50 and 55,050 is: 77,960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,872.50 : 55,050 = 55,050 : x
  2. Step 2: Convert to fraction form
    38,872.50/55,050 = 55,050/x
  3. Step 3: Cross multiply
    38,872.50x = 55,050 × 55,050
  4. Step 4: Simplify right side
    38,872.50x = 3,030,502,500
  5. Step 5: Solve for x
    x = 3,030,502,500/38,872.50
  6. Step 6: Final answer
    x = 77,960.06

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.