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Finding the Third Proportional to 5,494.50 and 12,009.94

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Solution

The third proportional to 5,494.50 and 12,009.94 is: 26,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.50 : 12,009.94 = 12,009.94 : x
  2. Step 2: Convert to fraction form
    5,494.50/12,009.94 = 12,009.94/x
  3. Step 3: Cross multiply
    5,494.50x = 12,009.94 × 12,009.94
  4. Step 4: Simplify right side
    5,494.50x = 144,238,598.75
  5. Step 5: Solve for x
    x = 144,238,598.75/5,494.50
  6. Step 6: Final answer
    x = 26,251.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.