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Finding the Third Proportional to 5,852.25 and 8,773.31

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Solution

The third proportional to 5,852.25 and 8,773.31 is: 13,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.25 : 8,773.31 = 8,773.31 : x
  2. Step 2: Convert to fraction form
    5,852.25/8,773.31 = 8,773.31/x
  3. Step 3: Cross multiply
    5,852.25x = 8,773.31 × 8,773.31
  4. Step 4: Simplify right side
    5,852.25x = 76,971,012.22
  5. Step 5: Solve for x
    x = 76,971,012.22/5,852.25
  6. Step 6: Final answer
    x = 13,152.38

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