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Finding the Third Proportional to 5,653.55 and 12,427.17

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Solution

The third proportional to 5,653.55 and 12,427.17 is: 27,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.55 : 12,427.17 = 12,427.17 : x
  2. Step 2: Convert to fraction form
    5,653.55/12,427.17 = 12,427.17/x
  3. Step 3: Cross multiply
    5,653.55x = 12,427.17 × 12,427.17
  4. Step 4: Simplify right side
    5,653.55x = 154,434,600.81
  5. Step 5: Solve for x
    x = 154,434,600.81/5,653.55
  6. Step 6: Final answer
    x = 27,316.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.