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Finding the Third Proportional to 4,320.31 and 9,252.63

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Solution

The third proportional to 4,320.31 and 9,252.63 is: 19,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320.31 : 9,252.63 = 9,252.63 : x
  2. Step 2: Convert to fraction form
    4,320.31/9,252.63 = 9,252.63/x
  3. Step 3: Cross multiply
    4,320.31x = 9,252.63 × 9,252.63
  4. Step 4: Simplify right side
    4,320.31x = 85,611,069.39
  5. Step 5: Solve for x
    x = 85,611,069.39/4,320.31
  6. Step 6: Final answer
    x = 19,815.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.