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Finding the Third Proportional to 26,426 and 35,229

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Solution

The third proportional to 26,426 and 35,229 is: 46,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,426 : 35,229 = 35,229 : x
  2. Step 2: Convert to fraction form
    26,426/35,229 = 35,229/x
  3. Step 3: Cross multiply
    26,426x = 35,229 × 35,229
  4. Step 4: Simplify right side
    26,426x = 1,241,082,441
  5. Step 5: Solve for x
    x = 1,241,082,441/26,426
  6. Step 6: Final answer
    x = 46,964.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.