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Finding the Third Proportional to 5,513.06 and 12,916.97

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Solution

The third proportional to 5,513.06 and 12,916.97 is: 30,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.06 : 12,916.97 = 12,916.97 : x
  2. Step 2: Convert to fraction form
    5,513.06/12,916.97 = 12,916.97/x
  3. Step 3: Cross multiply
    5,513.06x = 12,916.97 × 12,916.97
  4. Step 4: Simplify right side
    5,513.06x = 166,848,081.69
  5. Step 5: Solve for x
    x = 166,848,081.69/5,513.06
  6. Step 6: Final answer
    x = 30,264.14

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.