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Finding the Third Proportional to 2,462.81 and 5,335.50

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Solution

The third proportional to 2,462.81 and 5,335.50 is: 11,558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.81 : 5,335.50 = 5,335.50 : x
  2. Step 2: Convert to fraction form
    2,462.81/5,335.50 = 5,335.50/x
  3. Step 3: Cross multiply
    2,462.81x = 5,335.50 × 5,335.50
  4. Step 4: Simplify right side
    2,462.81x = 28,467,560.25
  5. Step 5: Solve for x
    x = 28,467,560.25/2,462.81
  6. Step 6: Final answer
    x = 11,558.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.