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Finding the Third Proportional to 8,902.25 and 19,232.13

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Solution

The third proportional to 8,902.25 and 19,232.13 is: 41,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.25 : 19,232.13 = 19,232.13 : x
  2. Step 2: Convert to fraction form
    8,902.25/19,232.13 = 19,232.13/x
  3. Step 3: Cross multiply
    8,902.25x = 19,232.13 × 19,232.13
  4. Step 4: Simplify right side
    8,902.25x = 369,874,632.02
  5. Step 5: Solve for x
    x = 369,874,632.02/8,902.25
  6. Step 6: Final answer
    x = 41,548.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.