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Finding the Third Proportional to 29,264 and 43,252

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Solution

The third proportional to 29,264 and 43,252 is: 63,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,264 : 43,252 = 43,252 : x
  2. Step 2: Convert to fraction form
    29,264/43,252 = 43,252/x
  3. Step 3: Cross multiply
    29,264x = 43,252 × 43,252
  4. Step 4: Simplify right side
    29,264x = 1,870,735,504
  5. Step 5: Solve for x
    x = 1,870,735,504/29,264
  6. Step 6: Final answer
    x = 63,926.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.