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Finding the Third Proportional to 26,071 and 55,011

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Solution

The third proportional to 26,071 and 55,011 is: 116,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,071 : 55,011 = 55,011 : x
  2. Step 2: Convert to fraction form
    26,071/55,011 = 55,011/x
  3. Step 3: Cross multiply
    26,071x = 55,011 × 55,011
  4. Step 4: Simplify right side
    26,071x = 3,026,210,121
  5. Step 5: Solve for x
    x = 3,026,210,121/26,071
  6. Step 6: Final answer
    x = 116,075.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.