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Finding the Third Proportional to 23,977.69 and 37,612.69

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Solution

The third proportional to 23,977.69 and 37,612.69 is: 59,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,977.69 : 37,612.69 = 37,612.69 : x
  2. Step 2: Convert to fraction form
    23,977.69/37,612.69 = 37,612.69/x
  3. Step 3: Cross multiply
    23,977.69x = 37,612.69 × 37,612.69
  4. Step 4: Simplify right side
    23,977.69x = 1,414,714,260.97
  5. Step 5: Solve for x
    x = 1,414,714,260.97/23,977.69
  6. Step 6: Final answer
    x = 59,001.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.