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Finding the Third Proportional to 32,601.75 and 68,708.25

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Solution

The third proportional to 32,601.75 and 68,708.25 is: 144,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,601.75 : 68,708.25 = 68,708.25 : x
  2. Step 2: Convert to fraction form
    32,601.75/68,708.25 = 68,708.25/x
  3. Step 3: Cross multiply
    32,601.75x = 68,708.25 × 68,708.25
  4. Step 4: Simplify right side
    32,601.75x = 4,720,823,618.06
  5. Step 5: Solve for x
    x = 4,720,823,618.06/32,601.75
  6. Step 6: Final answer
    x = 144,802.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.