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Finding the Third Proportional to 4,252.50 and 6,599.81

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Solution

The third proportional to 4,252.50 and 6,599.81 is: 10,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.50 : 6,599.81 = 6,599.81 : x
  2. Step 2: Convert to fraction form
    4,252.50/6,599.81 = 6,599.81/x
  3. Step 3: Cross multiply
    4,252.50x = 6,599.81 × 6,599.81
  4. Step 4: Simplify right side
    4,252.50x = 43,557,525.04
  5. Step 5: Solve for x
    x = 43,557,525.04/4,252.50
  6. Step 6: Final answer
    x = 10,242.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.