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Finding the Third Proportional to 17,503.59 and 27,842.48

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Solution

The third proportional to 17,503.59 and 27,842.48 is: 44,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,503.59 : 27,842.48 = 27,842.48 : x
  2. Step 2: Convert to fraction form
    17,503.59/27,842.48 = 27,842.48/x
  3. Step 3: Cross multiply
    17,503.59x = 27,842.48 × 27,842.48
  4. Step 4: Simplify right side
    17,503.59x = 775,203,936.17
  5. Step 5: Solve for x
    x = 775,203,936.17/17,503.59
  6. Step 6: Final answer
    x = 44,288.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.