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Finding the Third Proportional to 1,584.56 and 3,663.56

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Solution

The third proportional to 1,584.56 and 3,663.56 is: 8,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.56 : 3,663.56 = 3,663.56 : x
  2. Step 2: Convert to fraction form
    1,584.56/3,663.56 = 3,663.56/x
  3. Step 3: Cross multiply
    1,584.56x = 3,663.56 × 3,663.56
  4. Step 4: Simplify right side
    1,584.56x = 13,421,690.19
  5. Step 5: Solve for x
    x = 13,421,690.19/1,584.56
  6. Step 6: Final answer
    x = 8,470.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.