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Finding the Third Proportional to 4,162.22 and 8,916.75

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Solution

The third proportional to 4,162.22 and 8,916.75 is: 19,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.22 : 8,916.75 = 8,916.75 : x
  2. Step 2: Convert to fraction form
    4,162.22/8,916.75 = 8,916.75/x
  3. Step 3: Cross multiply
    4,162.22x = 8,916.75 × 8,916.75
  4. Step 4: Simplify right side
    4,162.22x = 79,508,430.56
  5. Step 5: Solve for x
    x = 79,508,430.56/4,162.22
  6. Step 6: Final answer
    x = 19,102.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.