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Finding the Third Proportional to 22,748 and 34,144

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Solution

The third proportional to 22,748 and 34,144 is: 51,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,748 : 34,144 = 34,144 : x
  2. Step 2: Convert to fraction form
    22,748/34,144 = 34,144/x
  3. Step 3: Cross multiply
    22,748x = 34,144 × 34,144
  4. Step 4: Simplify right side
    22,748x = 1,165,812,736
  5. Step 5: Solve for x
    x = 1,165,812,736/22,748
  6. Step 6: Final answer
    x = 51,249.02

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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.