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Finding the Third Proportional to 17,325 and 23,206.50

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Solution

The third proportional to 17,325 and 23,206.50 is: 31,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,325 : 23,206.50 = 23,206.50 : x
  2. Step 2: Convert to fraction form
    17,325/23,206.50 = 23,206.50/x
  3. Step 3: Cross multiply
    17,325x = 23,206.50 × 23,206.50
  4. Step 4: Simplify right side
    17,325x = 538,541,642.25
  5. Step 5: Solve for x
    x = 538,541,642.25/17,325
  6. Step 6: Final answer
    x = 31,084.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.