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Finding the Third Proportional to 8,336.34 and 12,851.16

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Solution

The third proportional to 8,336.34 and 12,851.16 is: 19,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.34 : 12,851.16 = 12,851.16 : x
  2. Step 2: Convert to fraction form
    8,336.34/12,851.16 = 12,851.16/x
  3. Step 3: Cross multiply
    8,336.34x = 12,851.16 × 12,851.16
  4. Step 4: Simplify right side
    8,336.34x = 165,152,216.96
  5. Step 5: Solve for x
    x = 165,152,216.96/8,336.34
  6. Step 6: Final answer
    x = 19,811.11

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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.