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Finding the Third Proportional to 8,493 and 9,726

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Solution

The third proportional to 8,493 and 9,726 is: 11,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493 : 9,726 = 9,726 : x
  2. Step 2: Convert to fraction form
    8,493/9,726 = 9,726/x
  3. Step 3: Cross multiply
    8,493x = 9,726 × 9,726
  4. Step 4: Simplify right side
    8,493x = 94,595,076
  5. Step 5: Solve for x
    x = 94,595,076/8,493
  6. Step 6: Final answer
    x = 11,138.00

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.