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Finding the Third Proportional to 3,663.56 and 7,605.56

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Solution

The third proportional to 3,663.56 and 7,605.56 is: 15,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.56 : 7,605.56 = 7,605.56 : x
  2. Step 2: Convert to fraction form
    3,663.56/7,605.56 = 7,605.56/x
  3. Step 3: Cross multiply
    3,663.56x = 7,605.56 × 7,605.56
  4. Step 4: Simplify right side
    3,663.56x = 57,844,580.94
  5. Step 5: Solve for x
    x = 57,844,580.94/3,663.56
  6. Step 6: Final answer
    x = 15,789.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.