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Finding the Third Proportional to 8,078.06 and 17,656.31

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Solution

The third proportional to 8,078.06 and 17,656.31 is: 38,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.06 : 17,656.31 = 17,656.31 : x
  2. Step 2: Convert to fraction form
    8,078.06/17,656.31 = 17,656.31/x
  3. Step 3: Cross multiply
    8,078.06x = 17,656.31 × 17,656.31
  4. Step 4: Simplify right side
    8,078.06x = 311,745,371.10
  5. Step 5: Solve for x
    x = 311,745,371.10/8,078.06
  6. Step 6: Final answer
    x = 38,591.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.