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Finding the Third Proportional to 43,231 and 64,847

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Solution

The third proportional to 43,231 and 64,847 is: 97,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,231 : 64,847 = 64,847 : x
  2. Step 2: Convert to fraction form
    43,231/64,847 = 64,847/x
  3. Step 3: Cross multiply
    43,231x = 64,847 × 64,847
  4. Step 4: Simplify right side
    43,231x = 4,205,133,409
  5. Step 5: Solve for x
    x = 4,205,133,409/43,231
  6. Step 6: Final answer
    x = 97,271.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.