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Finding the Third Proportional to 4,024.21 and 5,861.43

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Solution

The third proportional to 4,024.21 and 5,861.43 is: 8,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024.21 : 5,861.43 = 5,861.43 : x
  2. Step 2: Convert to fraction form
    4,024.21/5,861.43 = 5,861.43/x
  3. Step 3: Cross multiply
    4,024.21x = 5,861.43 × 5,861.43
  4. Step 4: Simplify right side
    4,024.21x = 34,356,312.19
  5. Step 5: Solve for x
    x = 34,356,312.19/4,024.21
  6. Step 6: Final answer
    x = 8,537.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.