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Finding the Third Proportional to 38,782 and 83,753

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Solution

The third proportional to 38,782 and 83,753 is: 180,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782 : 83,753 = 83,753 : x
  2. Step 2: Convert to fraction form
    38,782/83,753 = 83,753/x
  3. Step 3: Cross multiply
    38,782x = 83,753 × 83,753
  4. Step 4: Simplify right side
    38,782x = 7,014,565,009
  5. Step 5: Solve for x
    x = 7,014,565,009/38,782
  6. Step 6: Final answer
    x = 180,871.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.