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Finding the Third Proportional to 5,663.81 and 12,796.03

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Solution

The third proportional to 5,663.81 and 12,796.03 is: 28,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.81 : 12,796.03 = 12,796.03 : x
  2. Step 2: Convert to fraction form
    5,663.81/12,796.03 = 12,796.03/x
  3. Step 3: Cross multiply
    5,663.81x = 12,796.03 × 12,796.03
  4. Step 4: Simplify right side
    5,663.81x = 163,738,415.75
  5. Step 5: Solve for x
    x = 163,738,415.75/5,663.81
  6. Step 6: Final answer
    x = 28,909.58

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.