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Finding the Third Proportional to 26,610 and 36,999

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Solution

The third proportional to 26,610 and 36,999 is: 51,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,610 : 36,999 = 36,999 : x
  2. Step 2: Convert to fraction form
    26,610/36,999 = 36,999/x
  3. Step 3: Cross multiply
    26,610x = 36,999 × 36,999
  4. Step 4: Simplify right side
    26,610x = 1,368,926,001
  5. Step 5: Solve for x
    x = 1,368,926,001/26,610
  6. Step 6: Final answer
    x = 51,444.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.