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Finding the Third Proportional to 8,466.08 and 15,078.34

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Solution

The third proportional to 8,466.08 and 15,078.34 is: 26,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.08 : 15,078.34 = 15,078.34 : x
  2. Step 2: Convert to fraction form
    8,466.08/15,078.34 = 15,078.34/x
  3. Step 3: Cross multiply
    8,466.08x = 15,078.34 × 15,078.34
  4. Step 4: Simplify right side
    8,466.08x = 227,356,332.44
  5. Step 5: Solve for x
    x = 227,356,332.44/8,466.08
  6. Step 6: Final answer
    x = 26,854.96

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.