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Finding the Third Proportional to 7,917 and 11,410.50

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Solution

The third proportional to 7,917 and 11,410.50 is: 16,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917 : 11,410.50 = 11,410.50 : x
  2. Step 2: Convert to fraction form
    7,917/11,410.50 = 11,410.50/x
  3. Step 3: Cross multiply
    7,917x = 11,410.50 × 11,410.50
  4. Step 4: Simplify right side
    7,917x = 130,199,510.25
  5. Step 5: Solve for x
    x = 130,199,510.25/7,917
  6. Step 6: Final answer
    x = 16,445.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.