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Finding the Third Proportional to 14,642 and 31,634

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Solution

The third proportional to 14,642 and 31,634 is: 68,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642 : 31,634 = 31,634 : x
  2. Step 2: Convert to fraction form
    14,642/31,634 = 31,634/x
  3. Step 3: Cross multiply
    14,642x = 31,634 × 31,634
  4. Step 4: Simplify right side
    14,642x = 1,000,709,956
  5. Step 5: Solve for x
    x = 1,000,709,956/14,642
  6. Step 6: Final answer
    x = 68,345.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.