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Finding the Third Proportional to 34,710.19 and 75,839.63

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Solution

The third proportional to 34,710.19 and 75,839.63 is: 165,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,710.19 : 75,839.63 = 75,839.63 : x
  2. Step 2: Convert to fraction form
    34,710.19/75,839.63 = 75,839.63/x
  3. Step 3: Cross multiply
    34,710.19x = 75,839.63 × 75,839.63
  4. Step 4: Simplify right side
    34,710.19x = 5,751,648,720.14
  5. Step 5: Solve for x
    x = 5,751,648,720.14/34,710.19
  6. Step 6: Final answer
    x = 165,704.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.