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Finding the Third Proportional to 5,172.93 and 8,196.66

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Solution

The third proportional to 5,172.93 and 8,196.66 is: 12,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.93 : 8,196.66 = 8,196.66 : x
  2. Step 2: Convert to fraction form
    5,172.93/8,196.66 = 8,196.66/x
  3. Step 3: Cross multiply
    5,172.93x = 8,196.66 × 8,196.66
  4. Step 4: Simplify right side
    5,172.93x = 67,185,269.74
  5. Step 5: Solve for x
    x = 67,185,269.74/5,172.93
  6. Step 6: Final answer
    x = 12,987.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.