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Finding the Third Proportional to 24,038 and 35,857

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Solution

The third proportional to 24,038 and 35,857 is: 53,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,038 : 35,857 = 35,857 : x
  2. Step 2: Convert to fraction form
    24,038/35,857 = 35,857/x
  3. Step 3: Cross multiply
    24,038x = 35,857 × 35,857
  4. Step 4: Simplify right side
    24,038x = 1,285,724,449
  5. Step 5: Solve for x
    x = 1,285,724,449/24,038
  6. Step 6: Final answer
    x = 53,487.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.