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Finding the Third Proportional to 892.13 and 2,156.06

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Solution

The third proportional to 892.13 and 2,156.06 is: 5,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.13 : 2,156.06 = 2,156.06 : x
  2. Step 2: Convert to fraction form
    892.13/2,156.06 = 2,156.06/x
  3. Step 3: Cross multiply
    892.13x = 2,156.06 × 2,156.06
  4. Step 4: Simplify right side
    892.13x = 4,648,605.50
  5. Step 5: Solve for x
    x = 4,648,605.50/892.13
  6. Step 6: Final answer
    x = 5,210.71

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.