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Finding the Third Proportional to 4,030.81 and 6,107.06

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Solution

The third proportional to 4,030.81 and 6,107.06 is: 9,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030.81 : 6,107.06 = 6,107.06 : x
  2. Step 2: Convert to fraction form
    4,030.81/6,107.06 = 6,107.06/x
  3. Step 3: Cross multiply
    4,030.81x = 6,107.06 × 6,107.06
  4. Step 4: Simplify right side
    4,030.81x = 37,296,212.38
  5. Step 5: Solve for x
    x = 37,296,212.38/4,030.81
  6. Step 6: Final answer
    x = 9,252.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.