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Finding the Third Proportional to 2,313.56 and 3,578.34

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Solution

The third proportional to 2,313.56 and 3,578.34 is: 5,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.56 : 3,578.34 = 3,578.34 : x
  2. Step 2: Convert to fraction form
    2,313.56/3,578.34 = 3,578.34/x
  3. Step 3: Cross multiply
    2,313.56x = 3,578.34 × 3,578.34
  4. Step 4: Simplify right side
    2,313.56x = 12,804,543.99
  5. Step 5: Solve for x
    x = 12,804,543.99/2,313.56
  6. Step 6: Final answer
    x = 5,534.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.