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Finding the Third Proportional to 5,110.31 and 7,916.06

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Solution

The third proportional to 5,110.31 and 7,916.06 is: 12,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.31 : 7,916.06 = 7,916.06 : x
  2. Step 2: Convert to fraction form
    5,110.31/7,916.06 = 7,916.06/x
  3. Step 3: Cross multiply
    5,110.31x = 7,916.06 × 7,916.06
  4. Step 4: Simplify right side
    5,110.31x = 62,664,045.50
  5. Step 5: Solve for x
    x = 62,664,045.50/5,110.31
  6. Step 6: Final answer
    x = 12,262.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.