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Finding the Third Proportional to 26,764.13 and 36,051.38

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Solution

The third proportional to 26,764.13 and 36,051.38 is: 48,561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,764.13 : 36,051.38 = 36,051.38 : x
  2. Step 2: Convert to fraction form
    26,764.13/36,051.38 = 36,051.38/x
  3. Step 3: Cross multiply
    26,764.13x = 36,051.38 × 36,051.38
  4. Step 4: Simplify right side
    26,764.13x = 1,299,701,639.39
  5. Step 5: Solve for x
    x = 1,299,701,639.39/26,764.13
  6. Step 6: Final answer
    x = 48,561.33

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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.