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Finding the Third Proportional to 24,553 and 53,885

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Solution

The third proportional to 24,553 and 53,885 is: 118,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,553 : 53,885 = 53,885 : x
  2. Step 2: Convert to fraction form
    24,553/53,885 = 53,885/x
  3. Step 3: Cross multiply
    24,553x = 53,885 × 53,885
  4. Step 4: Simplify right side
    24,553x = 2,903,593,225
  5. Step 5: Solve for x
    x = 2,903,593,225/24,553
  6. Step 6: Final answer
    x = 118,258.19

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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.