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Finding the Third Proportional to 6,702.56 and 10,197.94

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Solution

The third proportional to 6,702.56 and 10,197.94 is: 15,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.56 : 10,197.94 = 10,197.94 : x
  2. Step 2: Convert to fraction form
    6,702.56/10,197.94 = 10,197.94/x
  3. Step 3: Cross multiply
    6,702.56x = 10,197.94 × 10,197.94
  4. Step 4: Simplify right side
    6,702.56x = 103,997,929.25
  5. Step 5: Solve for x
    x = 103,997,929.25/6,702.56
  6. Step 6: Final answer
    x = 15,516.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.