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Finding the Third Proportional to 9,047.25 and 11,923.88

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Solution

The third proportional to 9,047.25 and 11,923.88 is: 15,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.25 : 11,923.88 = 11,923.88 : x
  2. Step 2: Convert to fraction form
    9,047.25/11,923.88 = 11,923.88/x
  3. Step 3: Cross multiply
    9,047.25x = 11,923.88 × 11,923.88
  4. Step 4: Simplify right side
    9,047.25x = 142,178,795.02
  5. Step 5: Solve for x
    x = 142,178,795.02/9,047.25
  6. Step 6: Final answer
    x = 15,715.14

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.