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Finding the Third Proportional to 23,439 and 34,276

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Solution

The third proportional to 23,439 and 34,276 is: 50,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,439 : 34,276 = 34,276 : x
  2. Step 2: Convert to fraction form
    23,439/34,276 = 34,276/x
  3. Step 3: Cross multiply
    23,439x = 34,276 × 34,276
  4. Step 4: Simplify right side
    23,439x = 1,174,844,176
  5. Step 5: Solve for x
    x = 1,174,844,176/23,439
  6. Step 6: Final answer
    x = 50,123.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.