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Finding the Third Proportional to 26,424 and 40,896

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Solution

The third proportional to 26,424 and 40,896 is: 63,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,424 : 40,896 = 40,896 : x
  2. Step 2: Convert to fraction form
    26,424/40,896 = 40,896/x
  3. Step 3: Cross multiply
    26,424x = 40,896 × 40,896
  4. Step 4: Simplify right side
    26,424x = 1,672,482,816
  5. Step 5: Solve for x
    x = 1,672,482,816/26,424
  6. Step 6: Final answer
    x = 63,294.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.