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Finding the Third Proportional to 3,900.75 and 5,900.63

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Solution

The third proportional to 3,900.75 and 5,900.63 is: 8,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.75 : 5,900.63 = 5,900.63 : x
  2. Step 2: Convert to fraction form
    3,900.75/5,900.63 = 5,900.63/x
  3. Step 3: Cross multiply
    3,900.75x = 5,900.63 × 5,900.63
  4. Step 4: Simplify right side
    3,900.75x = 34,817,375.39
  5. Step 5: Solve for x
    x = 34,817,375.39/3,900.75
  6. Step 6: Final answer
    x = 8,925.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.