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Finding the Third Proportional to 4,384.50 and 6,281.25

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Solution

The third proportional to 4,384.50 and 6,281.25 is: 8,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.50 : 6,281.25 = 6,281.25 : x
  2. Step 2: Convert to fraction form
    4,384.50/6,281.25 = 6,281.25/x
  3. Step 3: Cross multiply
    4,384.50x = 6,281.25 × 6,281.25
  4. Step 4: Simplify right side
    4,384.50x = 39,454,101.56
  5. Step 5: Solve for x
    x = 39,454,101.56/4,384.50
  6. Step 6: Final answer
    x = 8,998.54

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.