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Finding the Third Proportional to 3,566.63 and 5,565.94

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Solution

The third proportional to 3,566.63 and 5,565.94 is: 8,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.63 : 5,565.94 = 5,565.94 : x
  2. Step 2: Convert to fraction form
    3,566.63/5,565.94 = 5,565.94/x
  3. Step 3: Cross multiply
    3,566.63x = 5,565.94 × 5,565.94
  4. Step 4: Simplify right side
    3,566.63x = 30,979,660.25
  5. Step 5: Solve for x
    x = 30,979,660.25/3,566.63
  6. Step 6: Final answer
    x = 8,685.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.