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Finding the Third Proportional to 25,768.13 and 41,446.69

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Solution

The third proportional to 25,768.13 and 41,446.69 is: 66,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,768.13 : 41,446.69 = 41,446.69 : x
  2. Step 2: Convert to fraction form
    25,768.13/41,446.69 = 41,446.69/x
  3. Step 3: Cross multiply
    25,768.13x = 41,446.69 × 41,446.69
  4. Step 4: Simplify right side
    25,768.13x = 1,717,827,904.72
  5. Step 5: Solve for x
    x = 1,717,827,904.72/25,768.13
  6. Step 6: Final answer
    x = 66,664.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.