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Finding the Third Proportional to 8,916.75 and 13,662

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Solution

The third proportional to 8,916.75 and 13,662 is: 20,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.75 : 13,662 = 13,662 : x
  2. Step 2: Convert to fraction form
    8,916.75/13,662 = 13,662/x
  3. Step 3: Cross multiply
    8,916.75x = 13,662 × 13,662
  4. Step 4: Simplify right side
    8,916.75x = 186,650,244
  5. Step 5: Solve for x
    x = 186,650,244/8,916.75
  6. Step 6: Final answer
    x = 20,932.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.