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Finding the Third Proportional to 4,417.03 and 9,039.09

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Solution

The third proportional to 4,417.03 and 9,039.09 is: 18,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.03 : 9,039.09 = 9,039.09 : x
  2. Step 2: Convert to fraction form
    4,417.03/9,039.09 = 9,039.09/x
  3. Step 3: Cross multiply
    4,417.03x = 9,039.09 × 9,039.09
  4. Step 4: Simplify right side
    4,417.03x = 81,705,215.82
  5. Step 5: Solve for x
    x = 81,705,215.82/4,417.03
  6. Step 6: Final answer
    x = 18,497.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.