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Finding the Third Proportional to 64,857.38 and 82,873.13

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Solution

The third proportional to 64,857.38 and 82,873.13 is: 105,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,857.38 : 82,873.13 = 82,873.13 : x
  2. Step 2: Convert to fraction form
    64,857.38/82,873.13 = 82,873.13/x
  3. Step 3: Cross multiply
    64,857.38x = 82,873.13 × 82,873.13
  4. Step 4: Simplify right side
    64,857.38x = 6,867,954,847.27
  5. Step 5: Solve for x
    x = 6,867,954,847.27/64,857.38
  6. Step 6: Final answer
    x = 105,893.20

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.