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Finding the Third Proportional to 15,424 and 23,200

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Solution

The third proportional to 15,424 and 23,200 is: 34,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424 : 23,200 = 23,200 : x
  2. Step 2: Convert to fraction form
    15,424/23,200 = 23,200/x
  3. Step 3: Cross multiply
    15,424x = 23,200 × 23,200
  4. Step 4: Simplify right side
    15,424x = 538,240,000
  5. Step 5: Solve for x
    x = 538,240,000/15,424
  6. Step 6: Final answer
    x = 34,896.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.