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Finding the Third Proportional to 35,031 and 81,943.50

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Solution

The third proportional to 35,031 and 81,943.50 is: 191,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,031 : 81,943.50 = 81,943.50 : x
  2. Step 2: Convert to fraction form
    35,031/81,943.50 = 81,943.50/x
  3. Step 3: Cross multiply
    35,031x = 81,943.50 × 81,943.50
  4. Step 4: Simplify right side
    35,031x = 6,714,737,192.25
  5. Step 5: Solve for x
    x = 6,714,737,192.25/35,031
  6. Step 6: Final answer
    x = 191,679.86

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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.