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Finding the Third Proportional to 5,837.06 and 8,030.81

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Solution

The third proportional to 5,837.06 and 8,030.81 is: 11,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.06 : 8,030.81 = 8,030.81 : x
  2. Step 2: Convert to fraction form
    5,837.06/8,030.81 = 8,030.81/x
  3. Step 3: Cross multiply
    5,837.06x = 8,030.81 × 8,030.81
  4. Step 4: Simplify right side
    5,837.06x = 64,493,949.41
  5. Step 5: Solve for x
    x = 64,493,949.41/5,837.06
  6. Step 6: Final answer
    x = 11,049.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.