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Finding the Third Proportional to 15,224 and 22,774

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Solution

The third proportional to 15,224 and 22,774 is: 34,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224 : 22,774 = 22,774 : x
  2. Step 2: Convert to fraction form
    15,224/22,774 = 22,774/x
  3. Step 3: Cross multiply
    15,224x = 22,774 × 22,774
  4. Step 4: Simplify right side
    15,224x = 518,655,076
  5. Step 5: Solve for x
    x = 518,655,076/15,224
  6. Step 6: Final answer
    x = 34,068.25

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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.