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Finding the Third Proportional to 26,056 and 35,306

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Solution

The third proportional to 26,056 and 35,306 is: 47,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,056 : 35,306 = 35,306 : x
  2. Step 2: Convert to fraction form
    26,056/35,306 = 35,306/x
  3. Step 3: Cross multiply
    26,056x = 35,306 × 35,306
  4. Step 4: Simplify right side
    26,056x = 1,246,513,636
  5. Step 5: Solve for x
    x = 1,246,513,636/26,056
  6. Step 6: Final answer
    x = 47,839.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.