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Finding the Third Proportional to 17,840.81 and 38,422.13

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Solution

The third proportional to 17,840.81 and 38,422.13 is: 82,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,840.81 : 38,422.13 = 38,422.13 : x
  2. Step 2: Convert to fraction form
    17,840.81/38,422.13 = 38,422.13/x
  3. Step 3: Cross multiply
    17,840.81x = 38,422.13 × 38,422.13
  4. Step 4: Simplify right side
    17,840.81x = 1,476,259,689.52
  5. Step 5: Solve for x
    x = 1,476,259,689.52/17,840.81
  6. Step 6: Final answer
    x = 82,746.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.