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Finding the Third Proportional to 37,894 and 56,101

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Solution

The third proportional to 37,894 and 56,101 is: 83,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,894 : 56,101 = 56,101 : x
  2. Step 2: Convert to fraction form
    37,894/56,101 = 56,101/x
  3. Step 3: Cross multiply
    37,894x = 56,101 × 56,101
  4. Step 4: Simplify right side
    37,894x = 3,147,322,201
  5. Step 5: Solve for x
    x = 3,147,322,201/37,894
  6. Step 6: Final answer
    x = 83,055.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.