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Finding the Third Proportional to 3,021.56 and 6,406.13

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Solution

The third proportional to 3,021.56 and 6,406.13 is: 13,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.56 : 6,406.13 = 6,406.13 : x
  2. Step 2: Convert to fraction form
    3,021.56/6,406.13 = 6,406.13/x
  3. Step 3: Cross multiply
    3,021.56x = 6,406.13 × 6,406.13
  4. Step 4: Simplify right side
    3,021.56x = 41,038,437.52
  5. Step 5: Solve for x
    x = 41,038,437.52/3,021.56
  6. Step 6: Final answer
    x = 13,581.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.