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Finding the Third Proportional to 6,725.25 and 14,678.75

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Solution

The third proportional to 6,725.25 and 14,678.75 is: 32,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.25 : 14,678.75 = 14,678.75 : x
  2. Step 2: Convert to fraction form
    6,725.25/14,678.75 = 14,678.75/x
  3. Step 3: Cross multiply
    6,725.25x = 14,678.75 × 14,678.75
  4. Step 4: Simplify right side
    6,725.25x = 215,465,701.56
  5. Step 5: Solve for x
    x = 215,465,701.56/6,725.25
  6. Step 6: Final answer
    x = 32,038.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.