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Finding the Third Proportional to 22,284 and 48,051

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Solution

The third proportional to 22,284 and 48,051 is: 103,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284 : 48,051 = 48,051 : x
  2. Step 2: Convert to fraction form
    22,284/48,051 = 48,051/x
  3. Step 3: Cross multiply
    22,284x = 48,051 × 48,051
  4. Step 4: Simplify right side
    22,284x = 2,308,898,601
  5. Step 5: Solve for x
    x = 2,308,898,601/22,284
  6. Step 6: Final answer
    x = 103,612.39

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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.