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Finding the Third Proportional to 30,969 and 67,843

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Solution

The third proportional to 30,969 and 67,843 is: 148,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969 : 67,843 = 67,843 : x
  2. Step 2: Convert to fraction form
    30,969/67,843 = 67,843/x
  3. Step 3: Cross multiply
    30,969x = 67,843 × 67,843
  4. Step 4: Simplify right side
    30,969x = 4,602,672,649
  5. Step 5: Solve for x
    x = 4,602,672,649/30,969
  6. Step 6: Final answer
    x = 148,621.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.