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Finding the Third Proportional to 23,747 and 35,254

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Solution

The third proportional to 23,747 and 35,254 is: 52,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,747 : 35,254 = 35,254 : x
  2. Step 2: Convert to fraction form
    23,747/35,254 = 35,254/x
  3. Step 3: Cross multiply
    23,747x = 35,254 × 35,254
  4. Step 4: Simplify right side
    23,747x = 1,242,844,516
  5. Step 5: Solve for x
    x = 1,242,844,516/23,747
  6. Step 6: Final answer
    x = 52,336.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.