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Finding the Third Proportional to 4,333.85 and 6,192.91

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Solution

The third proportional to 4,333.85 and 6,192.91 is: 8,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.85 : 6,192.91 = 6,192.91 : x
  2. Step 2: Convert to fraction form
    4,333.85/6,192.91 = 6,192.91/x
  3. Step 3: Cross multiply
    4,333.85x = 6,192.91 × 6,192.91
  4. Step 4: Simplify right side
    4,333.85x = 38,352,184.59
  5. Step 5: Solve for x
    x = 38,352,184.59/4,333.85
  6. Step 6: Final answer
    x = 8,849.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.