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Finding the Third Proportional to 29,586 and 64,356

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Solution

The third proportional to 29,586 and 64,356 is: 139,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586 : 64,356 = 64,356 : x
  2. Step 2: Convert to fraction form
    29,586/64,356 = 64,356/x
  3. Step 3: Cross multiply
    29,586x = 64,356 × 64,356
  4. Step 4: Simplify right side
    29,586x = 4,141,694,736
  5. Step 5: Solve for x
    x = 4,141,694,736/29,586
  6. Step 6: Final answer
    x = 139,988.33

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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.