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Finding the Third Proportional to 6,927.75 and 10,464.19

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Solution

The third proportional to 6,927.75 and 10,464.19 is: 15,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.75 : 10,464.19 = 10,464.19 : x
  2. Step 2: Convert to fraction form
    6,927.75/10,464.19 = 10,464.19/x
  3. Step 3: Cross multiply
    6,927.75x = 10,464.19 × 10,464.19
  4. Step 4: Simplify right side
    6,927.75x = 109,499,220.04
  5. Step 5: Solve for x
    x = 109,499,220.04/6,927.75
  6. Step 6: Final answer
    x = 15,805.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.