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Finding the Third Proportional to 3,263.06 and 5,089.78

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Solution

The third proportional to 3,263.06 and 5,089.78 is: 7,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.06 : 5,089.78 = 5,089.78 : x
  2. Step 2: Convert to fraction form
    3,263.06/5,089.78 = 5,089.78/x
  3. Step 3: Cross multiply
    3,263.06x = 5,089.78 × 5,089.78
  4. Step 4: Simplify right side
    3,263.06x = 25,905,873.17
  5. Step 5: Solve for x
    x = 25,905,873.17/3,263.06
  6. Step 6: Final answer
    x = 7,939.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.