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Finding the Third Proportional to 14,462 and 31,576

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Solution

The third proportional to 14,462 and 31,576 is: 68,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462 : 31,576 = 31,576 : x
  2. Step 2: Convert to fraction form
    14,462/31,576 = 31,576/x
  3. Step 3: Cross multiply
    14,462x = 31,576 × 31,576
  4. Step 4: Simplify right side
    14,462x = 997,043,776
  5. Step 5: Solve for x
    x = 997,043,776/14,462
  6. Step 6: Final answer
    x = 68,942.32

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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.