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Finding the Third Proportional to 26,556 and 57,522

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Solution

The third proportional to 26,556 and 57,522 is: 124,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,556 : 57,522 = 57,522 : x
  2. Step 2: Convert to fraction form
    26,556/57,522 = 57,522/x
  3. Step 3: Cross multiply
    26,556x = 57,522 × 57,522
  4. Step 4: Simplify right side
    26,556x = 3,308,780,484
  5. Step 5: Solve for x
    x = 3,308,780,484/26,556
  6. Step 6: Final answer
    x = 124,596.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.