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Finding the Third Proportional to 8,497.41 and 12,415.78

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Solution

The third proportional to 8,497.41 and 12,415.78 is: 18,141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.41 : 12,415.78 = 12,415.78 : x
  2. Step 2: Convert to fraction form
    8,497.41/12,415.78 = 12,415.78/x
  3. Step 3: Cross multiply
    8,497.41x = 12,415.78 × 12,415.78
  4. Step 4: Simplify right side
    8,497.41x = 154,151,624.05
  5. Step 5: Solve for x
    x = 154,151,624.05/8,497.41
  6. Step 6: Final answer
    x = 18,141.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.