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Finding the Third Proportional to 26,205 and 55,368

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Solution

The third proportional to 26,205 and 55,368 is: 116,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205 : 55,368 = 55,368 : x
  2. Step 2: Convert to fraction form
    26,205/55,368 = 55,368/x
  3. Step 3: Cross multiply
    26,205x = 55,368 × 55,368
  4. Step 4: Simplify right side
    26,205x = 3,065,615,424
  5. Step 5: Solve for x
    x = 3,065,615,424/26,205
  6. Step 6: Final answer
    x = 116,985.90

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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.