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Finding the Third Proportional to 36,988 and 56,094

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Solution

The third proportional to 36,988 and 56,094 is: 85,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,988 : 56,094 = 56,094 : x
  2. Step 2: Convert to fraction form
    36,988/56,094 = 56,094/x
  3. Step 3: Cross multiply
    36,988x = 56,094 × 56,094
  4. Step 4: Simplify right side
    36,988x = 3,146,536,836
  5. Step 5: Solve for x
    x = 3,146,536,836/36,988
  6. Step 6: Final answer
    x = 85,069.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.