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Finding the Third Proportional to 17,837.72 and 42,259.22

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Solution

The third proportional to 17,837.72 and 42,259.22 is: 100,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.72 : 42,259.22 = 42,259.22 : x
  2. Step 2: Convert to fraction form
    17,837.72/42,259.22 = 42,259.22/x
  3. Step 3: Cross multiply
    17,837.72x = 42,259.22 × 42,259.22
  4. Step 4: Simplify right side
    17,837.72x = 1,785,841,569.36
  5. Step 5: Solve for x
    x = 1,785,841,569.36/17,837.72
  6. Step 6: Final answer
    x = 100,116.03

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.