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Finding the Third Proportional to 23,352 and 34,164

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Solution

The third proportional to 23,352 and 34,164 is: 49,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,352 : 34,164 = 34,164 : x
  2. Step 2: Convert to fraction form
    23,352/34,164 = 34,164/x
  3. Step 3: Cross multiply
    23,352x = 34,164 × 34,164
  4. Step 4: Simplify right side
    23,352x = 1,167,178,896
  5. Step 5: Solve for x
    x = 1,167,178,896/23,352
  6. Step 6: Final answer
    x = 49,981.97

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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.