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Finding the Third Proportional to 34,516.13 and 71,674.88

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Solution

The third proportional to 34,516.13 and 71,674.88 is: 148,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,516.13 : 71,674.88 = 71,674.88 : x
  2. Step 2: Convert to fraction form
    34,516.13/71,674.88 = 71,674.88/x
  3. Step 3: Cross multiply
    34,516.13x = 71,674.88 × 71,674.88
  4. Step 4: Simplify right side
    34,516.13x = 5,137,287,706.27
  5. Step 5: Solve for x
    x = 5,137,287,706.27/34,516.13
  6. Step 6: Final answer
    x = 148,837.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.