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Finding the Third Proportional to 24,101 and 52,224.25

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Solution

The third proportional to 24,101 and 52,224.25 is: 113,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,101 : 52,224.25 = 52,224.25 : x
  2. Step 2: Convert to fraction form
    24,101/52,224.25 = 52,224.25/x
  3. Step 3: Cross multiply
    24,101x = 52,224.25 × 52,224.25
  4. Step 4: Simplify right side
    24,101x = 2,727,372,288.06
  5. Step 5: Solve for x
    x = 2,727,372,288.06/24,101
  6. Step 6: Final answer
    x = 113,164.28

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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.