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Finding the Third Proportional to 4,175.16 and 6,126.19

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Solution

The third proportional to 4,175.16 and 6,126.19 is: 8,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.16 : 6,126.19 = 6,126.19 : x
  2. Step 2: Convert to fraction form
    4,175.16/6,126.19 = 6,126.19/x
  3. Step 3: Cross multiply
    4,175.16x = 6,126.19 × 6,126.19
  4. Step 4: Simplify right side
    4,175.16x = 37,530,173.29
  5. Step 5: Solve for x
    x = 37,530,173.29/4,175.16
  6. Step 6: Final answer
    x = 8,988.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.