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Finding the Third Proportional to 13,634.25 and 29,732.25

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Solution

The third proportional to 13,634.25 and 29,732.25 is: 64,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.25 : 29,732.25 = 29,732.25 : x
  2. Step 2: Convert to fraction form
    13,634.25/29,732.25 = 29,732.25/x
  3. Step 3: Cross multiply
    13,634.25x = 29,732.25 × 29,732.25
  4. Step 4: Simplify right side
    13,634.25x = 884,006,690.06
  5. Step 5: Solve for x
    x = 884,006,690.06/13,634.25
  6. Step 6: Final answer
    x = 64,837.21

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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.