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Finding the Third Proportional to 4,175.77 and 6,126.94

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Solution

The third proportional to 4,175.77 and 6,126.94 is: 8,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.77 : 6,126.94 = 6,126.94 : x
  2. Step 2: Convert to fraction form
    4,175.77/6,126.94 = 6,126.94/x
  3. Step 3: Cross multiply
    4,175.77x = 6,126.94 × 6,126.94
  4. Step 4: Simplify right side
    4,175.77x = 37,539,363.13
  5. Step 5: Solve for x
    x = 37,539,363.13/4,175.77
  6. Step 6: Final answer
    x = 8,989.82

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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.