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Finding the Third Proportional to 39,880.75 and 87,005.75

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Solution

The third proportional to 39,880.75 and 87,005.75 is: 189,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,880.75 : 87,005.75 = 87,005.75 : x
  2. Step 2: Convert to fraction form
    39,880.75/87,005.75 = 87,005.75/x
  3. Step 3: Cross multiply
    39,880.75x = 87,005.75 × 87,005.75
  4. Step 4: Simplify right side
    39,880.75x = 7,570,000,533.06
  5. Step 5: Solve for x
    x = 7,570,000,533.06/39,880.75
  6. Step 6: Final answer
    x = 189,815.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.