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Finding the Third Proportional to 2,128.15 and 3,176.09

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Solution

The third proportional to 2,128.15 and 3,176.09 is: 4,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.15 : 3,176.09 = 3,176.09 : x
  2. Step 2: Convert to fraction form
    2,128.15/3,176.09 = 3,176.09/x
  3. Step 3: Cross multiply
    2,128.15x = 3,176.09 × 3,176.09
  4. Step 4: Simplify right side
    2,128.15x = 10,087,521.88
  5. Step 5: Solve for x
    x = 10,087,521.88/2,128.15
  6. Step 6: Final answer
    x = 4,740.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.