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Finding the Third Proportional to 8,358.19 and 14,905.69

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Solution

The third proportional to 8,358.19 and 14,905.69 is: 26,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.19 : 14,905.69 = 14,905.69 : x
  2. Step 2: Convert to fraction form
    8,358.19/14,905.69 = 14,905.69/x
  3. Step 3: Cross multiply
    8,358.19x = 14,905.69 × 14,905.69
  4. Step 4: Simplify right side
    8,358.19x = 222,179,519.85
  5. Step 5: Solve for x
    x = 222,179,519.85/8,358.19
  6. Step 6: Final answer
    x = 26,582.26

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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.