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Finding the Third Proportional to 23,328 and 33,948

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Solution

The third proportional to 23,328 and 33,948 is: 49,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,328 : 33,948 = 33,948 : x
  2. Step 2: Convert to fraction form
    23,328/33,948 = 33,948/x
  3. Step 3: Cross multiply
    23,328x = 33,948 × 33,948
  4. Step 4: Simplify right side
    23,328x = 1,152,466,704
  5. Step 5: Solve for x
    x = 1,152,466,704/23,328
  6. Step 6: Final answer
    x = 49,402.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.