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Finding the Third Proportional to 8,906.25 and 19,047.75

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Solution

The third proportional to 8,906.25 and 19,047.75 is: 40,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.25 : 19,047.75 = 19,047.75 : x
  2. Step 2: Convert to fraction form
    8,906.25/19,047.75 = 19,047.75/x
  3. Step 3: Cross multiply
    8,906.25x = 19,047.75 × 19,047.75
  4. Step 4: Simplify right side
    8,906.25x = 362,816,780.06
  5. Step 5: Solve for x
    x = 362,816,780.06/8,906.25
  6. Step 6: Final answer
    x = 40,737.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.