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Finding the Third Proportional to 8,557.31 and 12,722.06

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Solution

The third proportional to 8,557.31 and 12,722.06 is: 18,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557.31 : 12,722.06 = 12,722.06 : x
  2. Step 2: Convert to fraction form
    8,557.31/12,722.06 = 12,722.06/x
  3. Step 3: Cross multiply
    8,557.31x = 12,722.06 × 12,722.06
  4. Step 4: Simplify right side
    8,557.31x = 161,850,874.25
  5. Step 5: Solve for x
    x = 161,850,874.25/8,557.31
  6. Step 6: Final answer
    x = 18,913.75

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