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Finding the Third Proportional to 5,772.94 and 9,178.31

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Solution

The third proportional to 5,772.94 and 9,178.31 is: 14,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.94 : 9,178.31 = 9,178.31 : x
  2. Step 2: Convert to fraction form
    5,772.94/9,178.31 = 9,178.31/x
  3. Step 3: Cross multiply
    5,772.94x = 9,178.31 × 9,178.31
  4. Step 4: Simplify right side
    5,772.94x = 84,241,420.35
  5. Step 5: Solve for x
    x = 84,241,420.35/5,772.94
  6. Step 6: Final answer
    x = 14,592.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.