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Finding the Third Proportional to 22,174 and 48,516

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Solution

The third proportional to 22,174 and 48,516 is: 106,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,174 : 48,516 = 48,516 : x
  2. Step 2: Convert to fraction form
    22,174/48,516 = 48,516/x
  3. Step 3: Cross multiply
    22,174x = 48,516 × 48,516
  4. Step 4: Simplify right side
    22,174x = 2,353,802,256
  5. Step 5: Solve for x
    x = 2,353,802,256/22,174
  6. Step 6: Final answer
    x = 106,151.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.