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Finding the Third Proportional to 26,282 and 35,410

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Solution

The third proportional to 26,282 and 35,410 is: 47,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,282 : 35,410 = 35,410 : x
  2. Step 2: Convert to fraction form
    26,282/35,410 = 35,410/x
  3. Step 3: Cross multiply
    26,282x = 35,410 × 35,410
  4. Step 4: Simplify right side
    26,282x = 1,253,868,100
  5. Step 5: Solve for x
    x = 1,253,868,100/26,282
  6. Step 6: Final answer
    x = 47,708.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.