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Finding the Third Proportional to 17,911.13 and 41,828.91

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Solution

The third proportional to 17,911.13 and 41,828.91 is: 97,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,911.13 : 41,828.91 = 41,828.91 : x
  2. Step 2: Convert to fraction form
    17,911.13/41,828.91 = 41,828.91/x
  3. Step 3: Cross multiply
    17,911.13x = 41,828.91 × 41,828.91
  4. Step 4: Simplify right side
    17,911.13x = 1,749,657,398.07
  5. Step 5: Solve for x
    x = 1,749,657,398.07/17,911.13
  6. Step 6: Final answer
    x = 97,685.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.