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Finding the Third Proportional to 8,259.19 and 11,773.69

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Solution

The third proportional to 8,259.19 and 11,773.69 is: 16,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.19 : 11,773.69 = 11,773.69 : x
  2. Step 2: Convert to fraction form
    8,259.19/11,773.69 = 11,773.69/x
  3. Step 3: Cross multiply
    8,259.19x = 11,773.69 × 11,773.69
  4. Step 4: Simplify right side
    8,259.19x = 138,619,717.35
  5. Step 5: Solve for x
    x = 138,619,717.35/8,259.19
  6. Step 6: Final answer
    x = 16,783.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.