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Finding the Third Proportional to 37,029 and 79,530

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Solution

The third proportional to 37,029 and 79,530 is: 170,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,029 : 79,530 = 79,530 : x
  2. Step 2: Convert to fraction form
    37,029/79,530 = 79,530/x
  3. Step 3: Cross multiply
    37,029x = 79,530 × 79,530
  4. Step 4: Simplify right side
    37,029x = 6,325,020,900
  5. Step 5: Solve for x
    x = 6,325,020,900/37,029
  6. Step 6: Final answer
    x = 170,812.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.