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Finding the Third Proportional to 6,284.25 and 8,656.45

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Solution

The third proportional to 6,284.25 and 8,656.45 is: 11,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.25 : 8,656.45 = 8,656.45 : x
  2. Step 2: Convert to fraction form
    6,284.25/8,656.45 = 8,656.45/x
  3. Step 3: Cross multiply
    6,284.25x = 8,656.45 × 8,656.45
  4. Step 4: Simplify right side
    6,284.25x = 74,934,180.71
  5. Step 5: Solve for x
    x = 74,934,180.71/6,284.25
  6. Step 6: Final answer
    x = 11,924.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.