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Finding the Third Proportional to 5,654.81 and 8,793.56

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Solution

The third proportional to 5,654.81 and 8,793.56 is: 13,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.81 : 8,793.56 = 8,793.56 : x
  2. Step 2: Convert to fraction form
    5,654.81/8,793.56 = 8,793.56/x
  3. Step 3: Cross multiply
    5,654.81x = 8,793.56 × 8,793.56
  4. Step 4: Simplify right side
    5,654.81x = 77,326,741.44
  5. Step 5: Solve for x
    x = 77,326,741.44/5,654.81
  6. Step 6: Final answer
    x = 13,674.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.