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Finding the Third Proportional to 26,278.50 and 35,406

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Solution

The third proportional to 26,278.50 and 35,406 is: 47,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,278.50 : 35,406 = 35,406 : x
  2. Step 2: Convert to fraction form
    26,278.50/35,406 = 35,406/x
  3. Step 3: Cross multiply
    26,278.50x = 35,406 × 35,406
  4. Step 4: Simplify right side
    26,278.50x = 1,253,584,836
  5. Step 5: Solve for x
    x = 1,253,584,836/26,278.50
  6. Step 6: Final answer
    x = 47,703.82

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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.