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Finding the Third Proportional to 23,556 and 51,404

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Solution

The third proportional to 23,556 and 51,404 is: 112,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,556 : 51,404 = 51,404 : x
  2. Step 2: Convert to fraction form
    23,556/51,404 = 51,404/x
  3. Step 3: Cross multiply
    23,556x = 51,404 × 51,404
  4. Step 4: Simplify right side
    23,556x = 2,642,371,216
  5. Step 5: Solve for x
    x = 2,642,371,216/23,556
  6. Step 6: Final answer
    x = 112,174.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.