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Finding the Third Proportional to 2,061.56 and 4,563.56

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Solution

The third proportional to 2,061.56 and 4,563.56 is: 10,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.56 : 4,563.56 = 4,563.56 : x
  2. Step 2: Convert to fraction form
    2,061.56/4,563.56 = 4,563.56/x
  3. Step 3: Cross multiply
    2,061.56x = 4,563.56 × 4,563.56
  4. Step 4: Simplify right side
    2,061.56x = 20,826,102.69
  5. Step 5: Solve for x
    x = 20,826,102.69/2,061.56
  6. Step 6: Final answer
    x = 10,102.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.