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Finding the Third Proportional to 34,089.19 and 51,706.69

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Solution

The third proportional to 34,089.19 and 51,706.69 is: 78,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,089.19 : 51,706.69 = 51,706.69 : x
  2. Step 2: Convert to fraction form
    34,089.19/51,706.69 = 51,706.69/x
  3. Step 3: Cross multiply
    34,089.19x = 51,706.69 × 51,706.69
  4. Step 4: Simplify right side
    34,089.19x = 2,673,581,532.22
  5. Step 5: Solve for x
    x = 2,673,581,532.22/34,089.19
  6. Step 6: Final answer
    x = 78,429.02

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