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Finding the Third Proportional to 22,918 and 31,054

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Solution

The third proportional to 22,918 and 31,054 is: 42,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,918 : 31,054 = 31,054 : x
  2. Step 2: Convert to fraction form
    22,918/31,054 = 31,054/x
  3. Step 3: Cross multiply
    22,918x = 31,054 × 31,054
  4. Step 4: Simplify right side
    22,918x = 964,350,916
  5. Step 5: Solve for x
    x = 964,350,916/22,918
  6. Step 6: Final answer
    x = 42,078.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.