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Finding the Third Proportional to 9,989.16 and 14,914.97

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Solution

The third proportional to 9,989.16 and 14,914.97 is: 22,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.16 : 14,914.97 = 14,914.97 : x
  2. Step 2: Convert to fraction form
    9,989.16/14,914.97 = 14,914.97/x
  3. Step 3: Cross multiply
    9,989.16x = 14,914.97 × 14,914.97
  4. Step 4: Simplify right side
    9,989.16x = 222,456,292.81
  5. Step 5: Solve for x
    x = 222,456,292.81/9,989.16
  6. Step 6: Final answer
    x = 22,269.78

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Why These Related Problems?

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