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Finding the Third Proportional to 5,492.81 and 12,171.94

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Solution

The third proportional to 5,492.81 and 12,171.94 is: 26,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.81 : 12,171.94 = 12,171.94 : x
  2. Step 2: Convert to fraction form
    5,492.81/12,171.94 = 12,171.94/x
  3. Step 3: Cross multiply
    5,492.81x = 12,171.94 × 12,171.94
  4. Step 4: Simplify right side
    5,492.81x = 148,156,062.50
  5. Step 5: Solve for x
    x = 148,156,062.50/5,492.81
  6. Step 6: Final answer
    x = 26,972.71

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.