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Finding the Third Proportional to 22,284 and 48,460

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Solution

The third proportional to 22,284 and 48,460 is: 105,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284 : 48,460 = 48,460 : x
  2. Step 2: Convert to fraction form
    22,284/48,460 = 48,460/x
  3. Step 3: Cross multiply
    22,284x = 48,460 × 48,460
  4. Step 4: Simplify right side
    22,284x = 2,348,371,600
  5. Step 5: Solve for x
    x = 2,348,371,600/22,284
  6. Step 6: Final answer
    x = 105,383.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.