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Finding the Third Proportional to 3,877.50 and 6,244.50

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Solution

The third proportional to 3,877.50 and 6,244.50 is: 10,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.50 : 6,244.50 = 6,244.50 : x
  2. Step 2: Convert to fraction form
    3,877.50/6,244.50 = 6,244.50/x
  3. Step 3: Cross multiply
    3,877.50x = 6,244.50 × 6,244.50
  4. Step 4: Simplify right side
    3,877.50x = 38,993,780.25
  5. Step 5: Solve for x
    x = 38,993,780.25/3,877.50
  6. Step 6: Final answer
    x = 10,056.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.