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Finding the Third Proportional to 6,144.61 and 13,185.28

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Solution

The third proportional to 6,144.61 and 13,185.28 is: 28,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.61 : 13,185.28 = 13,185.28 : x
  2. Step 2: Convert to fraction form
    6,144.61/13,185.28 = 13,185.28/x
  3. Step 3: Cross multiply
    6,144.61x = 13,185.28 × 13,185.28
  4. Step 4: Simplify right side
    6,144.61x = 173,851,641.64
  5. Step 5: Solve for x
    x = 173,851,641.64/6,144.61
  6. Step 6: Final answer
    x = 28,293.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.