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Finding the Third Proportional to 8,644.22 and 13,045.78

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Solution

The third proportional to 8,644.22 and 13,045.78 is: 19,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.22 : 13,045.78 = 13,045.78 : x
  2. Step 2: Convert to fraction form
    8,644.22/13,045.78 = 13,045.78/x
  3. Step 3: Cross multiply
    8,644.22x = 13,045.78 × 13,045.78
  4. Step 4: Simplify right side
    8,644.22x = 170,192,408.42
  5. Step 5: Solve for x
    x = 170,192,408.42/8,644.22
  6. Step 6: Final answer
    x = 19,688.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.