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Finding the Third Proportional to 37,560 and 70,390

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Solution

The third proportional to 37,560 and 70,390 is: 131,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,560 : 70,390 = 70,390 : x
  2. Step 2: Convert to fraction form
    37,560/70,390 = 70,390/x
  3. Step 3: Cross multiply
    37,560x = 70,390 × 70,390
  4. Step 4: Simplify right side
    37,560x = 4,954,752,100
  5. Step 5: Solve for x
    x = 4,954,752,100/37,560
  6. Step 6: Final answer
    x = 131,915.66

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.