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Finding the Third Proportional to 24,328 and 34,788

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Solution

The third proportional to 24,328 and 34,788 is: 49,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,328 : 34,788 = 34,788 : x
  2. Step 2: Convert to fraction form
    24,328/34,788 = 34,788/x
  3. Step 3: Cross multiply
    24,328x = 34,788 × 34,788
  4. Step 4: Simplify right side
    24,328x = 1,210,204,944
  5. Step 5: Solve for x
    x = 1,210,204,944/24,328
  6. Step 6: Final answer
    x = 49,745.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.