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Finding the Third Proportional to 39,022.50 and 82,904.25

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Solution

The third proportional to 39,022.50 and 82,904.25 is: 176,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,022.50 : 82,904.25 = 82,904.25 : x
  2. Step 2: Convert to fraction form
    39,022.50/82,904.25 = 82,904.25/x
  3. Step 3: Cross multiply
    39,022.50x = 82,904.25 × 82,904.25
  4. Step 4: Simplify right side
    39,022.50x = 6,873,114,668.06
  5. Step 5: Solve for x
    x = 6,873,114,668.06/39,022.50
  6. Step 6: Final answer
    x = 176,132.09

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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.