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Finding the Third Proportional to 34,226.93 and 52,641.77

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Solution

The third proportional to 34,226.93 and 52,641.77 is: 80,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,226.93 : 52,641.77 = 52,641.77 : x
  2. Step 2: Convert to fraction form
    34,226.93/52,641.77 = 52,641.77/x
  3. Step 3: Cross multiply
    34,226.93x = 52,641.77 × 52,641.77
  4. Step 4: Simplify right side
    34,226.93x = 2,771,156,310.65
  5. Step 5: Solve for x
    x = 2,771,156,310.65/34,226.93
  6. Step 6: Final answer
    x = 80,964.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.