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Finding the Third Proportional to 17,707.50 and 39,351

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Solution

The third proportional to 17,707.50 and 39,351 is: 87,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.50 : 39,351 = 39,351 : x
  2. Step 2: Convert to fraction form
    17,707.50/39,351 = 39,351/x
  3. Step 3: Cross multiply
    17,707.50x = 39,351 × 39,351
  4. Step 4: Simplify right side
    17,707.50x = 1,548,501,201
  5. Step 5: Solve for x
    x = 1,548,501,201/17,707.50
  6. Step 6: Final answer
    x = 87,448.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.