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Finding the Third Proportional to 27,010 and 40,884

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Solution

The third proportional to 27,010 and 40,884 is: 61,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,010 : 40,884 = 40,884 : x
  2. Step 2: Convert to fraction form
    27,010/40,884 = 40,884/x
  3. Step 3: Cross multiply
    27,010x = 40,884 × 40,884
  4. Step 4: Simplify right side
    27,010x = 1,671,501,456
  5. Step 5: Solve for x
    x = 1,671,501,456/27,010
  6. Step 6: Final answer
    x = 61,884.54

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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.