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Finding the Third Proportional to 27,008 and 40,881

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Solution

The third proportional to 27,008 and 40,881 is: 61,880.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,008 : 40,881 = 40,881 : x
  2. Step 2: Convert to fraction form
    27,008/40,881 = 40,881/x
  3. Step 3: Cross multiply
    27,008x = 40,881 × 40,881
  4. Step 4: Simplify right side
    27,008x = 1,671,256,161
  5. Step 5: Solve for x
    x = 1,671,256,161/27,008
  6. Step 6: Final answer
    x = 61,880.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.