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Finding the Third Proportional to 17,313.75 and 23,502.66

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Solution

The third proportional to 17,313.75 and 23,502.66 is: 31,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,313.75 : 23,502.66 = 23,502.66 : x
  2. Step 2: Convert to fraction form
    17,313.75/23,502.66 = 23,502.66/x
  3. Step 3: Cross multiply
    17,313.75x = 23,502.66 × 23,502.66
  4. Step 4: Simplify right side
    17,313.75x = 552,374,850.81
  5. Step 5: Solve for x
    x = 552,374,850.81/17,313.75
  6. Step 6: Final answer
    x = 31,903.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.