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Finding the Third Proportional to 11,661.75 and 29,904.19

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Solution

The third proportional to 11,661.75 and 29,904.19 is: 76,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.75 : 29,904.19 = 29,904.19 : x
  2. Step 2: Convert to fraction form
    11,661.75/29,904.19 = 29,904.19/x
  3. Step 3: Cross multiply
    11,661.75x = 29,904.19 × 29,904.19
  4. Step 4: Simplify right side
    11,661.75x = 894,260,430.04
  5. Step 5: Solve for x
    x = 894,260,430.04/11,661.75
  6. Step 6: Final answer
    x = 76,683.21

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.