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Finding the Third Proportional to 9,080.86 and 18,784.41

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Solution

The third proportional to 9,080.86 and 18,784.41 is: 38,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,080.86 : 18,784.41 = 18,784.41 : x
  2. Step 2: Convert to fraction form
    9,080.86/18,784.41 = 18,784.41/x
  3. Step 3: Cross multiply
    9,080.86x = 18,784.41 × 18,784.41
  4. Step 4: Simplify right side
    9,080.86x = 352,853,918.17
  5. Step 5: Solve for x
    x = 352,853,918.17/9,080.86
  6. Step 6: Final answer
    x = 38,856.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.