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Finding the Third Proportional to 23,313 and 35,163.75

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Solution

The third proportional to 23,313 and 35,163.75 is: 53,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,313 : 35,163.75 = 35,163.75 : x
  2. Step 2: Convert to fraction form
    23,313/35,163.75 = 35,163.75/x
  3. Step 3: Cross multiply
    23,313x = 35,163.75 × 35,163.75
  4. Step 4: Simplify right side
    23,313x = 1,236,489,314.06
  5. Step 5: Solve for x
    x = 1,236,489,314.06/23,313
  6. Step 6: Final answer
    x = 53,038.62

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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.