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Finding the Third Proportional to 43,291 and 64,762

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Solution

The third proportional to 43,291 and 64,762 is: 96,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,291 : 64,762 = 64,762 : x
  2. Step 2: Convert to fraction form
    43,291/64,762 = 64,762/x
  3. Step 3: Cross multiply
    43,291x = 64,762 × 64,762
  4. Step 4: Simplify right side
    43,291x = 4,194,116,644
  5. Step 5: Solve for x
    x = 4,194,116,644/43,291
  6. Step 6: Final answer
    x = 96,881.95

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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.