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Finding the Third Proportional to 4,565.25 and 6,896.81

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Solution

The third proportional to 4,565.25 and 6,896.81 is: 10,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.25 : 6,896.81 = 6,896.81 : x
  2. Step 2: Convert to fraction form
    4,565.25/6,896.81 = 6,896.81/x
  3. Step 3: Cross multiply
    4,565.25x = 6,896.81 × 6,896.81
  4. Step 4: Simplify right side
    4,565.25x = 47,566,022.66
  5. Step 5: Solve for x
    x = 47,566,022.66/4,565.25
  6. Step 6: Final answer
    x = 10,419.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.