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Finding the Third Proportional to 37,932 and 81,678

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Solution

The third proportional to 37,932 and 81,678 is: 175,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,932 : 81,678 = 81,678 : x
  2. Step 2: Convert to fraction form
    37,932/81,678 = 81,678/x
  3. Step 3: Cross multiply
    37,932x = 81,678 × 81,678
  4. Step 4: Simplify right side
    37,932x = 6,671,295,684
  5. Step 5: Solve for x
    x = 6,671,295,684/37,932
  6. Step 6: Final answer
    x = 175,875.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.