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Finding the Third Proportional to 26,325 and 34,151.63

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Solution

The third proportional to 26,325 and 34,151.63 is: 44,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,325 : 34,151.63 = 34,151.63 : x
  2. Step 2: Convert to fraction form
    26,325/34,151.63 = 34,151.63/x
  3. Step 3: Cross multiply
    26,325x = 34,151.63 × 34,151.63
  4. Step 4: Simplify right side
    26,325x = 1,166,333,490.14
  5. Step 5: Solve for x
    x = 1,166,333,490.14/26,325
  6. Step 6: Final answer
    x = 44,305.17

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.