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Finding the Third Proportional to 26,205 and 56,841

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Solution

The third proportional to 26,205 and 56,841 is: 123,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205 : 56,841 = 56,841 : x
  2. Step 2: Convert to fraction form
    26,205/56,841 = 56,841/x
  3. Step 3: Cross multiply
    26,205x = 56,841 × 56,841
  4. Step 4: Simplify right side
    26,205x = 3,230,899,281
  5. Step 5: Solve for x
    x = 3,230,899,281/26,205
  6. Step 6: Final answer
    x = 123,293.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.