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Finding the Third Proportional to 4,421.25 and 6,284.25

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Solution

The third proportional to 4,421.25 and 6,284.25 is: 8,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,421.25 : 6,284.25 = 6,284.25 : x
  2. Step 2: Convert to fraction form
    4,421.25/6,284.25 = 6,284.25/x
  3. Step 3: Cross multiply
    4,421.25x = 6,284.25 × 6,284.25
  4. Step 4: Simplify right side
    4,421.25x = 39,491,798.06
  5. Step 5: Solve for x
    x = 39,491,798.06/4,421.25
  6. Step 6: Final answer
    x = 8,932.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.