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Finding the Third Proportional to 26,009 and 55,117

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Solution

The third proportional to 26,009 and 55,117 is: 116,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,009 : 55,117 = 55,117 : x
  2. Step 2: Convert to fraction form
    26,009/55,117 = 55,117/x
  3. Step 3: Cross multiply
    26,009x = 55,117 × 55,117
  4. Step 4: Simplify right side
    26,009x = 3,037,883,689
  5. Step 5: Solve for x
    x = 3,037,883,689/26,009
  6. Step 6: Final answer
    x = 116,801.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.