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Finding the Third Proportional to 37,945 and 56,708

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Solution

The third proportional to 37,945 and 56,708 is: 84,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,945 : 56,708 = 56,708 : x
  2. Step 2: Convert to fraction form
    37,945/56,708 = 56,708/x
  3. Step 3: Cross multiply
    37,945x = 56,708 × 56,708
  4. Step 4: Simplify right side
    37,945x = 3,215,797,264
  5. Step 5: Solve for x
    x = 3,215,797,264/37,945
  6. Step 6: Final answer
    x = 84,748.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.