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Finding the Third Proportional to 35,312 and 82,814

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Solution

The third proportional to 35,312 and 82,814 is: 194,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,312 : 82,814 = 82,814 : x
  2. Step 2: Convert to fraction form
    35,312/82,814 = 82,814/x
  3. Step 3: Cross multiply
    35,312x = 82,814 × 82,814
  4. Step 4: Simplify right side
    35,312x = 6,858,158,596
  5. Step 5: Solve for x
    x = 6,858,158,596/35,312
  6. Step 6: Final answer
    x = 194,216.09

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.