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Finding the Third Proportional to 3,912 and 9,298.50

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Solution

The third proportional to 3,912 and 9,298.50 is: 22,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912 : 9,298.50 = 9,298.50 : x
  2. Step 2: Convert to fraction form
    3,912/9,298.50 = 9,298.50/x
  3. Step 3: Cross multiply
    3,912x = 9,298.50 × 9,298.50
  4. Step 4: Simplify right side
    3,912x = 86,462,102.25
  5. Step 5: Solve for x
    x = 86,462,102.25/3,912
  6. Step 6: Final answer
    x = 22,101.76

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.