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Finding the Third Proportional to 6,701.63 and 10,196.44

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Solution

The third proportional to 6,701.63 and 10,196.44 is: 15,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.63 : 10,196.44 = 10,196.44 : x
  2. Step 2: Convert to fraction form
    6,701.63/10,196.44 = 10,196.44/x
  3. Step 3: Cross multiply
    6,701.63x = 10,196.44 × 10,196.44
  4. Step 4: Simplify right side
    6,701.63x = 103,967,337.69
  5. Step 5: Solve for x
    x = 103,967,337.69/6,701.63
  6. Step 6: Final answer
    x = 15,513.75

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