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Finding the Third Proportional to 19,988 and 43,054

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Solution

The third proportional to 19,988 and 43,054 is: 92,737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,988 : 43,054 = 43,054 : x
  2. Step 2: Convert to fraction form
    19,988/43,054 = 43,054/x
  3. Step 3: Cross multiply
    19,988x = 43,054 × 43,054
  4. Step 4: Simplify right side
    19,988x = 1,853,646,916
  5. Step 5: Solve for x
    x = 1,853,646,916/19,988
  6. Step 6: Final answer
    x = 92,737.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.