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Finding the Third Proportional to 24,628 and 52,757

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Solution

The third proportional to 24,628 and 52,757 is: 113,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,628 : 52,757 = 52,757 : x
  2. Step 2: Convert to fraction form
    24,628/52,757 = 52,757/x
  3. Step 3: Cross multiply
    24,628x = 52,757 × 52,757
  4. Step 4: Simplify right side
    24,628x = 2,783,301,049
  5. Step 5: Solve for x
    x = 2,783,301,049/24,628
  6. Step 6: Final answer
    x = 113,013.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.