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Finding the Third Proportional to 3,919 and 6,300.50

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Solution

The third proportional to 3,919 and 6,300.50 is: 10,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919 : 6,300.50 = 6,300.50 : x
  2. Step 2: Convert to fraction form
    3,919/6,300.50 = 6,300.50/x
  3. Step 3: Cross multiply
    3,919x = 6,300.50 × 6,300.50
  4. Step 4: Simplify right side
    3,919x = 39,696,300.25
  5. Step 5: Solve for x
    x = 39,696,300.25/3,919
  6. Step 6: Final answer
    x = 10,129.19

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