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Finding the Third Proportional to 6,502.78 and 10,694.53

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Solution

The third proportional to 6,502.78 and 10,694.53 is: 17,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 10,694.53 = 10,694.53 : x
  2. Step 2: Convert to fraction form
    6,502.78/10,694.53 = 10,694.53/x
  3. Step 3: Cross multiply
    6,502.78x = 10,694.53 × 10,694.53
  4. Step 4: Simplify right side
    6,502.78x = 114,372,998.66
  5. Step 5: Solve for x
    x = 114,372,998.66/6,502.78
  6. Step 6: Final answer
    x = 17,588.32

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.