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Finding the Third Proportional to 5,909.25 and 8,864.25

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Solution

The third proportional to 5,909.25 and 8,864.25 is: 13,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.25 : 8,864.25 = 8,864.25 : x
  2. Step 2: Convert to fraction form
    5,909.25/8,864.25 = 8,864.25/x
  3. Step 3: Cross multiply
    5,909.25x = 8,864.25 × 8,864.25
  4. Step 4: Simplify right side
    5,909.25x = 78,574,928.06
  5. Step 5: Solve for x
    x = 78,574,928.06/5,909.25
  6. Step 6: Final answer
    x = 13,296.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.