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Finding the Third Proportional to 29,396 and 69,380

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Solution

The third proportional to 29,396 and 69,380 is: 163,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,396 : 69,380 = 69,380 : x
  2. Step 2: Convert to fraction form
    29,396/69,380 = 69,380/x
  3. Step 3: Cross multiply
    29,396x = 69,380 × 69,380
  4. Step 4: Simplify right side
    29,396x = 4,813,584,400
  5. Step 5: Solve for x
    x = 4,813,584,400/29,396
  6. Step 6: Final answer
    x = 163,749.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.