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Finding the Third Proportional to 8,740.41 and 13,634.16

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Solution

The third proportional to 8,740.41 and 13,634.16 is: 21,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.41 : 13,634.16 = 13,634.16 : x
  2. Step 2: Convert to fraction form
    8,740.41/13,634.16 = 13,634.16/x
  3. Step 3: Cross multiply
    8,740.41x = 13,634.16 × 13,634.16
  4. Step 4: Simplify right side
    8,740.41x = 185,890,216.65
  5. Step 5: Solve for x
    x = 185,890,216.65/8,740.41
  6. Step 6: Final answer
    x = 21,267.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.