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Finding the Third Proportional to 37,960 and 60,780

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Solution

The third proportional to 37,960 and 60,780 is: 97,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,960 : 60,780 = 60,780 : x
  2. Step 2: Convert to fraction form
    37,960/60,780 = 60,780/x
  3. Step 3: Cross multiply
    37,960x = 60,780 × 60,780
  4. Step 4: Simplify right side
    37,960x = 3,694,208,400
  5. Step 5: Solve for x
    x = 3,694,208,400/37,960
  6. Step 6: Final answer
    x = 97,318.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.