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Finding the Third Proportional to 22,663 and 48,972

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Solution

The third proportional to 22,663 and 48,972 is: 105,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663 : 48,972 = 48,972 : x
  2. Step 2: Convert to fraction form
    22,663/48,972 = 48,972/x
  3. Step 3: Cross multiply
    22,663x = 48,972 × 48,972
  4. Step 4: Simplify right side
    22,663x = 2,398,256,784
  5. Step 5: Solve for x
    x = 2,398,256,784/22,663
  6. Step 6: Final answer
    x = 105,822.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.