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Finding the Third Proportional to 29,639.25 and 69,967.13

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Solution

The third proportional to 29,639.25 and 69,967.13 is: 165,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,639.25 : 69,967.13 = 69,967.13 : x
  2. Step 2: Convert to fraction form
    29,639.25/69,967.13 = 69,967.13/x
  3. Step 3: Cross multiply
    29,639.25x = 69,967.13 × 69,967.13
  4. Step 4: Simplify right side
    29,639.25x = 4,895,398,580.77
  5. Step 5: Solve for x
    x = 4,895,398,580.77/29,639.25
  6. Step 6: Final answer
    x = 165,166.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.