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Finding the Third Proportional to 31,792 and 48,097

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Solution

The third proportional to 31,792 and 48,097 is: 72,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792 : 48,097 = 48,097 : x
  2. Step 2: Convert to fraction form
    31,792/48,097 = 48,097/x
  3. Step 3: Cross multiply
    31,792x = 48,097 × 48,097
  4. Step 4: Simplify right side
    31,792x = 2,313,321,409
  5. Step 5: Solve for x
    x = 2,313,321,409/31,792
  6. Step 6: Final answer
    x = 72,764.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.