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Finding the Third Proportional to 3,256.75 and 5,039.63

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Solution

The third proportional to 3,256.75 and 5,039.63 is: 7,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.75 : 5,039.63 = 5,039.63 : x
  2. Step 2: Convert to fraction form
    3,256.75/5,039.63 = 5,039.63/x
  3. Step 3: Cross multiply
    3,256.75x = 5,039.63 × 5,039.63
  4. Step 4: Simplify right side
    3,256.75x = 25,397,820.14
  5. Step 5: Solve for x
    x = 25,397,820.14/3,256.75
  6. Step 6: Final answer
    x = 7,798.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.