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Finding the Third Proportional to 44,842 and 67,370

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Solution

The third proportional to 44,842 and 67,370 is: 101,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,842 : 67,370 = 67,370 : x
  2. Step 2: Convert to fraction form
    44,842/67,370 = 67,370/x
  3. Step 3: Cross multiply
    44,842x = 67,370 × 67,370
  4. Step 4: Simplify right side
    44,842x = 4,538,716,900
  5. Step 5: Solve for x
    x = 4,538,716,900/44,842
  6. Step 6: Final answer
    x = 101,215.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.