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Finding the Third Proportional to 6,774.75 and 9,957.09

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Solution

The third proportional to 6,774.75 and 9,957.09 is: 14,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.75 : 9,957.09 = 9,957.09 : x
  2. Step 2: Convert to fraction form
    6,774.75/9,957.09 = 9,957.09/x
  3. Step 3: Cross multiply
    6,774.75x = 9,957.09 × 9,957.09
  4. Step 4: Simplify right side
    6,774.75x = 99,143,715.95
  5. Step 5: Solve for x
    x = 99,143,715.95/6,774.75
  6. Step 6: Final answer
    x = 14,634.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.