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Finding the Third Proportional to 8,098.73 and 12,569.55

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Solution

The third proportional to 8,098.73 and 12,569.55 is: 19,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.73 : 12,569.55 = 12,569.55 : x
  2. Step 2: Convert to fraction form
    8,098.73/12,569.55 = 12,569.55/x
  3. Step 3: Cross multiply
    8,098.73x = 12,569.55 × 12,569.55
  4. Step 4: Simplify right side
    8,098.73x = 157,993,705.04
  5. Step 5: Solve for x
    x = 157,993,705.04/8,098.73
  6. Step 6: Final answer
    x = 19,508.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.