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Finding the Third Proportional to 6,702.05 and 14,571.42

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Solution

The third proportional to 6,702.05 and 14,571.42 is: 31,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.05 : 14,571.42 = 14,571.42 : x
  2. Step 2: Convert to fraction form
    6,702.05/14,571.42 = 14,571.42/x
  3. Step 3: Cross multiply
    6,702.05x = 14,571.42 × 14,571.42
  4. Step 4: Simplify right side
    6,702.05x = 212,326,335.46
  5. Step 5: Solve for x
    x = 212,326,335.46/6,702.05
  6. Step 6: Final answer
    x = 31,680.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.