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Finding the Third Proportional to 37,024 and 79,520

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Solution

The third proportional to 37,024 and 79,520 is: 170,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,024 : 79,520 = 79,520 : x
  2. Step 2: Convert to fraction form
    37,024/79,520 = 79,520/x
  3. Step 3: Cross multiply
    37,024x = 79,520 × 79,520
  4. Step 4: Simplify right side
    37,024x = 6,323,430,400
  5. Step 5: Solve for x
    x = 6,323,430,400/37,024
  6. Step 6: Final answer
    x = 170,792.74

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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.