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Finding the Third Proportional to 6,825.94 and 14,929.31

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Solution

The third proportional to 6,825.94 and 14,929.31 is: 32,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.94 : 14,929.31 = 14,929.31 : x
  2. Step 2: Convert to fraction form
    6,825.94/14,929.31 = 14,929.31/x
  3. Step 3: Cross multiply
    6,825.94x = 14,929.31 × 14,929.31
  4. Step 4: Simplify right side
    6,825.94x = 222,884,371.72
  5. Step 5: Solve for x
    x = 222,884,371.72/6,825.94
  6. Step 6: Final answer
    x = 32,652.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.