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Finding the Third Proportional to 31,840 and 70,031

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Solution

The third proportional to 31,840 and 70,031 is: 154,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,840 : 70,031 = 70,031 : x
  2. Step 2: Convert to fraction form
    31,840/70,031 = 70,031/x
  3. Step 3: Cross multiply
    31,840x = 70,031 × 70,031
  4. Step 4: Simplify right side
    31,840x = 4,904,340,961
  5. Step 5: Solve for x
    x = 4,904,340,961/31,840
  6. Step 6: Final answer
    x = 154,030.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.