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Finding the Third Proportional to 17,109 and 25,071.75

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Solution

The third proportional to 17,109 and 25,071.75 is: 36,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,109 : 25,071.75 = 25,071.75 : x
  2. Step 2: Convert to fraction form
    17,109/25,071.75 = 25,071.75/x
  3. Step 3: Cross multiply
    17,109x = 25,071.75 × 25,071.75
  4. Step 4: Simplify right side
    17,109x = 628,592,648.06
  5. Step 5: Solve for x
    x = 628,592,648.06/17,109
  6. Step 6: Final answer
    x = 36,740.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.