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Finding the Third Proportional to 22,901.25 and 48,261.75

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Solution

The third proportional to 22,901.25 and 48,261.75 is: 101,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.25 : 48,261.75 = 48,261.75 : x
  2. Step 2: Convert to fraction form
    22,901.25/48,261.75 = 48,261.75/x
  3. Step 3: Cross multiply
    22,901.25x = 48,261.75 × 48,261.75
  4. Step 4: Simplify right side
    22,901.25x = 2,329,196,513.06
  5. Step 5: Solve for x
    x = 2,329,196,513.06/22,901.25
  6. Step 6: Final answer
    x = 101,706.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.