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Finding the Third Proportional to 17,758.13 and 37,706.25

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Solution

The third proportional to 17,758.13 and 37,706.25 is: 80,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.13 : 37,706.25 = 37,706.25 : x
  2. Step 2: Convert to fraction form
    17,758.13/37,706.25 = 37,706.25/x
  3. Step 3: Cross multiply
    17,758.13x = 37,706.25 × 37,706.25
  4. Step 4: Simplify right side
    17,758.13x = 1,421,761,289.06
  5. Step 5: Solve for x
    x = 1,421,761,289.06/17,758.13
  6. Step 6: Final answer
    x = 80,062.58

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.