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Finding the Third Proportional to 4,340.25 and 9,464.63

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Solution

The third proportional to 4,340.25 and 9,464.63 is: 20,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.25 : 9,464.63 = 9,464.63 : x
  2. Step 2: Convert to fraction form
    4,340.25/9,464.63 = 9,464.63/x
  3. Step 3: Cross multiply
    4,340.25x = 9,464.63 × 9,464.63
  4. Step 4: Simplify right side
    4,340.25x = 89,579,126.39
  5. Step 5: Solve for x
    x = 89,579,126.39/4,340.25
  6. Step 6: Final answer
    x = 20,639.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.