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Finding the Third Proportional to 30,979 and 67,888

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Solution

The third proportional to 30,979 and 67,888 is: 148,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,979 : 67,888 = 67,888 : x
  2. Step 2: Convert to fraction form
    30,979/67,888 = 67,888/x
  3. Step 3: Cross multiply
    30,979x = 67,888 × 67,888
  4. Step 4: Simplify right side
    30,979x = 4,608,780,544
  5. Step 5: Solve for x
    x = 4,608,780,544/30,979
  6. Step 6: Final answer
    x = 148,771.12

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