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Finding the Third Proportional to 23,357 and 35,277

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Solution

The third proportional to 23,357 and 35,277 is: 53,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,357 : 35,277 = 35,277 : x
  2. Step 2: Convert to fraction form
    23,357/35,277 = 35,277/x
  3. Step 3: Cross multiply
    23,357x = 35,277 × 35,277
  4. Step 4: Simplify right side
    23,357x = 1,244,466,729
  5. Step 5: Solve for x
    x = 1,244,466,729/23,357
  6. Step 6: Final answer
    x = 53,280.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.