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Finding the Third Proportional to 23,792 and 37,072

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Solution

The third proportional to 23,792 and 37,072 is: 57,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792 : 37,072 = 37,072 : x
  2. Step 2: Convert to fraction form
    23,792/37,072 = 37,072/x
  3. Step 3: Cross multiply
    23,792x = 37,072 × 37,072
  4. Step 4: Simplify right side
    23,792x = 1,374,333,184
  5. Step 5: Solve for x
    x = 1,374,333,184/23,792
  6. Step 6: Final answer
    x = 57,764.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.