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Finding the Third Proportional to 29,336 and 64,302

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Solution

The third proportional to 29,336 and 64,302 is: 140,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,336 : 64,302 = 64,302 : x
  2. Step 2: Convert to fraction form
    29,336/64,302 = 64,302/x
  3. Step 3: Cross multiply
    29,336x = 64,302 × 64,302
  4. Step 4: Simplify right side
    29,336x = 4,134,747,204
  5. Step 5: Solve for x
    x = 4,134,747,204/29,336
  6. Step 6: Final answer
    x = 140,944.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.