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Finding the Third Proportional to 988.45 and 2,026.27

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Solution

The third proportional to 988.45 and 2,026.27 is: 4,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.45 : 2,026.27 = 2,026.27 : x
  2. Step 2: Convert to fraction form
    988.45/2,026.27 = 2,026.27/x
  3. Step 3: Cross multiply
    988.45x = 2,026.27 × 2,026.27
  4. Step 4: Simplify right side
    988.45x = 4,105,752.38
  5. Step 5: Solve for x
    x = 4,105,752.38/988.45
  6. Step 6: Final answer
    x = 4,153.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.