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Finding the Third Proportional to 26,126 and 55,480

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Solution

The third proportional to 26,126 and 55,480 is: 117,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,126 : 55,480 = 55,480 : x
  2. Step 2: Convert to fraction form
    26,126/55,480 = 55,480/x
  3. Step 3: Cross multiply
    26,126x = 55,480 × 55,480
  4. Step 4: Simplify right side
    26,126x = 3,078,030,400
  5. Step 5: Solve for x
    x = 3,078,030,400/26,126
  6. Step 6: Final answer
    x = 117,814.84

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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.