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Finding the Third Proportional to 9,084.31 and 18,852.06

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Solution

The third proportional to 9,084.31 and 18,852.06 is: 39,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.31 : 18,852.06 = 18,852.06 : x
  2. Step 2: Convert to fraction form
    9,084.31/18,852.06 = 18,852.06/x
  3. Step 3: Cross multiply
    9,084.31x = 18,852.06 × 18,852.06
  4. Step 4: Simplify right side
    9,084.31x = 355,400,260.50
  5. Step 5: Solve for x
    x = 355,400,260.50/9,084.31
  6. Step 6: Final answer
    x = 39,122.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.