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Finding the Third Proportional to 32,963 and 64,306

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Solution

The third proportional to 32,963 and 64,306 is: 125,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963 : 64,306 = 64,306 : x
  2. Step 2: Convert to fraction form
    32,963/64,306 = 64,306/x
  3. Step 3: Cross multiply
    32,963x = 64,306 × 64,306
  4. Step 4: Simplify right side
    32,963x = 4,135,261,636
  5. Step 5: Solve for x
    x = 4,135,261,636/32,963
  6. Step 6: Final answer
    x = 125,451.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.