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Finding the Third Proportional to 9,850.04 and 12,929.78

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Solution

The third proportional to 9,850.04 and 12,929.78 is: 16,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.04 : 12,929.78 = 12,929.78 : x
  2. Step 2: Convert to fraction form
    9,850.04/12,929.78 = 12,929.78/x
  3. Step 3: Cross multiply
    9,850.04x = 12,929.78 × 12,929.78
  4. Step 4: Simplify right side
    9,850.04x = 167,179,293.68
  5. Step 5: Solve for x
    x = 167,179,293.68/9,850.04
  6. Step 6: Final answer
    x = 16,972.44

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.