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Finding the Third Proportional to 16,627.78 and 22,616.72

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Solution

The third proportional to 16,627.78 and 22,616.72 is: 30,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,627.78 : 22,616.72 = 22,616.72 : x
  2. Step 2: Convert to fraction form
    16,627.78/22,616.72 = 22,616.72/x
  3. Step 3: Cross multiply
    16,627.78x = 22,616.72 × 22,616.72
  4. Step 4: Simplify right side
    16,627.78x = 511,515,967.02
  5. Step 5: Solve for x
    x = 511,515,967.02/16,627.78
  6. Step 6: Final answer
    x = 30,762.73

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.