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Finding the Third Proportional to 17,506.13 and 38,429.44

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Solution

The third proportional to 17,506.13 and 38,429.44 is: 84,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,506.13 : 38,429.44 = 38,429.44 : x
  2. Step 2: Convert to fraction form
    17,506.13/38,429.44 = 38,429.44/x
  3. Step 3: Cross multiply
    17,506.13x = 38,429.44 × 38,429.44
  4. Step 4: Simplify right side
    17,506.13x = 1,476,821,666.57
  5. Step 5: Solve for x
    x = 1,476,821,666.57/17,506.13
  6. Step 6: Final answer
    x = 84,360.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.