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Finding the Third Proportional to 26,310 and 35,449

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Solution

The third proportional to 26,310 and 35,449 is: 47,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,310 : 35,449 = 35,449 : x
  2. Step 2: Convert to fraction form
    26,310/35,449 = 35,449/x
  3. Step 3: Cross multiply
    26,310x = 35,449 × 35,449
  4. Step 4: Simplify right side
    26,310x = 1,256,631,601
  5. Step 5: Solve for x
    x = 1,256,631,601/26,310
  6. Step 6: Final answer
    x = 47,762.51

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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.