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Finding the Third Proportional to 25,806.75 and 37,714.13

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Solution

The third proportional to 25,806.75 and 37,714.13 is: 55,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806.75 : 37,714.13 = 37,714.13 : x
  2. Step 2: Convert to fraction form
    25,806.75/37,714.13 = 37,714.13/x
  3. Step 3: Cross multiply
    25,806.75x = 37,714.13 × 37,714.13
  4. Step 4: Simplify right side
    25,806.75x = 1,422,355,224.52
  5. Step 5: Solve for x
    x = 1,422,355,224.52/25,806.75
  6. Step 6: Final answer
    x = 55,115.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.