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Finding the Third Proportional to 1,565.16 and 3,639.52

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Solution

The third proportional to 1,565.16 and 3,639.52 is: 8,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.16 : 3,639.52 = 3,639.52 : x
  2. Step 2: Convert to fraction form
    1,565.16/3,639.52 = 3,639.52/x
  3. Step 3: Cross multiply
    1,565.16x = 3,639.52 × 3,639.52
  4. Step 4: Simplify right side
    1,565.16x = 13,246,073.98
  5. Step 5: Solve for x
    x = 13,246,073.98/1,565.16
  6. Step 6: Final answer
    x = 8,463.10

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.