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Finding the Third Proportional to 4,172.91 and 6,498.70

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Solution

The third proportional to 4,172.91 and 6,498.70 is: 10,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.91 : 6,498.70 = 6,498.70 : x
  2. Step 2: Convert to fraction form
    4,172.91/6,498.70 = 6,498.70/x
  3. Step 3: Cross multiply
    4,172.91x = 6,498.70 × 6,498.70
  4. Step 4: Simplify right side
    4,172.91x = 42,233,142.31
  5. Step 5: Solve for x
    x = 42,233,142.31/4,172.91
  6. Step 6: Final answer
    x = 10,120.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.