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Finding the Third Proportional to 5,827.25 and 9,089.75

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Solution

The third proportional to 5,827.25 and 9,089.75 is: 14,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.25 : 9,089.75 = 9,089.75 : x
  2. Step 2: Convert to fraction form
    5,827.25/9,089.75 = 9,089.75/x
  3. Step 3: Cross multiply
    5,827.25x = 9,089.75 × 9,089.75
  4. Step 4: Simplify right side
    5,827.25x = 82,623,555.06
  5. Step 5: Solve for x
    x = 82,623,555.06/5,827.25
  6. Step 6: Final answer
    x = 14,178.82

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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.