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Finding the Third Proportional to 2,098.13 and 3,117.94

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Solution

The third proportional to 2,098.13 and 3,117.94 is: 4,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.13 : 3,117.94 = 3,117.94 : x
  2. Step 2: Convert to fraction form
    2,098.13/3,117.94 = 3,117.94/x
  3. Step 3: Cross multiply
    2,098.13x = 3,117.94 × 3,117.94
  4. Step 4: Simplify right side
    2,098.13x = 9,721,534.25
  5. Step 5: Solve for x
    x = 9,721,534.25/2,098.13
  6. Step 6: Final answer
    x = 4,633.44

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Why These Related Problems?

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