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Finding the Third Proportional to 32,031 and 69,894

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Solution

The third proportional to 32,031 and 69,894 is: 152,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031 : 69,894 = 69,894 : x
  2. Step 2: Convert to fraction form
    32,031/69,894 = 69,894/x
  3. Step 3: Cross multiply
    32,031x = 69,894 × 69,894
  4. Step 4: Simplify right side
    32,031x = 4,885,171,236
  5. Step 5: Solve for x
    x = 4,885,171,236/32,031
  6. Step 6: Final answer
    x = 152,513.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.