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Finding the Third Proportional to 38,867.63 and 82,405.69

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Solution

The third proportional to 38,867.63 and 82,405.69 is: 174,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,867.63 : 82,405.69 = 82,405.69 : x
  2. Step 2: Convert to fraction form
    38,867.63/82,405.69 = 82,405.69/x
  3. Step 3: Cross multiply
    38,867.63x = 82,405.69 × 82,405.69
  4. Step 4: Simplify right side
    38,867.63x = 6,790,697,332.35
  5. Step 5: Solve for x
    x = 6,790,697,332.35/38,867.63
  6. Step 6: Final answer
    x = 174,713.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.