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Finding the Third Proportional to 5,772.75 and 9,296.63

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Solution

The third proportional to 5,772.75 and 9,296.63 is: 14,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.75 : 9,296.63 = 9,296.63 : x
  2. Step 2: Convert to fraction form
    5,772.75/9,296.63 = 9,296.63/x
  3. Step 3: Cross multiply
    5,772.75x = 9,296.63 × 9,296.63
  4. Step 4: Simplify right side
    5,772.75x = 86,427,236.39
  5. Step 5: Solve for x
    x = 86,427,236.39/5,772.75
  6. Step 6: Final answer
    x = 14,971.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.