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Finding the Third Proportional to 9,259.31 and 18,052.88

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Solution

The third proportional to 9,259.31 and 18,052.88 is: 35,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.31 : 18,052.88 = 18,052.88 : x
  2. Step 2: Convert to fraction form
    9,259.31/18,052.88 = 18,052.88/x
  3. Step 3: Cross multiply
    9,259.31x = 18,052.88 × 18,052.88
  4. Step 4: Simplify right side
    9,259.31x = 325,906,295.77
  5. Step 5: Solve for x
    x = 325,906,295.77/9,259.31
  6. Step 6: Final answer
    x = 35,197.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.