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Finding the Third Proportional to 2,007.38 and 2,899.50

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Solution

The third proportional to 2,007.38 and 2,899.50 is: 4,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.38 : 2,899.50 = 2,899.50 : x
  2. Step 2: Convert to fraction form
    2,007.38/2,899.50 = 2,899.50/x
  3. Step 3: Cross multiply
    2,007.38x = 2,899.50 × 2,899.50
  4. Step 4: Simplify right side
    2,007.38x = 8,407,100.25
  5. Step 5: Solve for x
    x = 8,407,100.25/2,007.38
  6. Step 6: Final answer
    x = 4,188.11

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.