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Finding the Third Proportional to 15,216 and 22,824

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Solution

The third proportional to 15,216 and 22,824 is: 34,236

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,216 : 22,824 = 22,824 : x
  2. Step 2: Convert to fraction form
    15,216/22,824 = 22,824/x
  3. Step 3: Cross multiply
    15,216x = 22,824 × 22,824
  4. Step 4: Simplify right side
    15,216x = 520,934,976
  5. Step 5: Solve for x
    x = 520,934,976/15,216
  6. Step 6: Final answer
    x = 34,236

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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.