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Finding the Third Proportional to 20,031.75 and 43,079.06

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Solution

The third proportional to 20,031.75 and 43,079.06 is: 92,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.75 : 43,079.06 = 43,079.06 : x
  2. Step 2: Convert to fraction form
    20,031.75/43,079.06 = 43,079.06/x
  3. Step 3: Cross multiply
    20,031.75x = 43,079.06 × 43,079.06
  4. Step 4: Simplify right side
    20,031.75x = 1,855,805,625.88
  5. Step 5: Solve for x
    x = 1,855,805,625.88/20,031.75
  6. Step 6: Final answer
    x = 92,643.21

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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.