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Finding the Third Proportional to 3,758.63 and 8,699.63

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Solution

The third proportional to 3,758.63 and 8,699.63 is: 20,135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.63 : 8,699.63 = 8,699.63 : x
  2. Step 2: Convert to fraction form
    3,758.63/8,699.63 = 8,699.63/x
  3. Step 3: Cross multiply
    3,758.63x = 8,699.63 × 8,699.63
  4. Step 4: Simplify right side
    3,758.63x = 75,683,475.14
  5. Step 5: Solve for x
    x = 75,683,475.14/3,758.63
  6. Step 6: Final answer
    x = 20,135.95

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.