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Finding the Third Proportional to 24,832 and 34,896

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Solution

The third proportional to 24,832 and 34,896 is: 49,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832 : 34,896 = 34,896 : x
  2. Step 2: Convert to fraction form
    24,832/34,896 = 34,896/x
  3. Step 3: Cross multiply
    24,832x = 34,896 × 34,896
  4. Step 4: Simplify right side
    24,832x = 1,217,730,816
  5. Step 5: Solve for x
    x = 1,217,730,816/24,832
  6. Step 6: Final answer
    x = 49,038.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.