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Finding the Third Proportional to 37,039 and 57,440

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Solution

The third proportional to 37,039 and 57,440 is: 89,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,039 : 57,440 = 57,440 : x
  2. Step 2: Convert to fraction form
    37,039/57,440 = 57,440/x
  3. Step 3: Cross multiply
    37,039x = 57,440 × 57,440
  4. Step 4: Simplify right side
    37,039x = 3,299,353,600
  5. Step 5: Solve for x
    x = 3,299,353,600/37,039
  6. Step 6: Final answer
    x = 89,077.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.