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Finding the Third Proportional to 26,405 and 53,242

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Solution

The third proportional to 26,405 and 53,242 is: 107,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,405 : 53,242 = 53,242 : x
  2. Step 2: Convert to fraction form
    26,405/53,242 = 53,242/x
  3. Step 3: Cross multiply
    26,405x = 53,242 × 53,242
  4. Step 4: Simplify right side
    26,405x = 2,834,710,564
  5. Step 5: Solve for x
    x = 2,834,710,564/26,405
  6. Step 6: Final answer
    x = 107,355.07

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.