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Finding the Third Proportional to 47,344 and 74,264

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Solution

The third proportional to 47,344 and 74,264 is: 116,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344 : 74,264 = 74,264 : x
  2. Step 2: Convert to fraction form
    47,344/74,264 = 74,264/x
  3. Step 3: Cross multiply
    47,344x = 74,264 × 74,264
  4. Step 4: Simplify right side
    47,344x = 5,515,141,696
  5. Step 5: Solve for x
    x = 5,515,141,696/47,344
  6. Step 6: Final answer
    x = 116,490.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.