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Finding the Third Proportional to 2,098.41 and 2,273.06

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Solution

The third proportional to 2,098.41 and 2,273.06 is: 2,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.41 : 2,273.06 = 2,273.06 : x
  2. Step 2: Convert to fraction form
    2,098.41/2,273.06 = 2,273.06/x
  3. Step 3: Cross multiply
    2,098.41x = 2,273.06 × 2,273.06
  4. Step 4: Simplify right side
    2,098.41x = 5,166,813.13
  5. Step 5: Solve for x
    x = 5,166,813.13/2,098.41
  6. Step 6: Final answer
    x = 2,462.26

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.