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Finding the Third Proportional to 8,303.34 and 12,135.66

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Solution

The third proportional to 8,303.34 and 12,135.66 is: 17,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.34 : 12,135.66 = 12,135.66 : x
  2. Step 2: Convert to fraction form
    8,303.34/12,135.66 = 12,135.66/x
  3. Step 3: Cross multiply
    8,303.34x = 12,135.66 × 12,135.66
  4. Step 4: Simplify right side
    8,303.34x = 147,274,152.62
  5. Step 5: Solve for x
    x = 147,274,152.62/8,303.34
  6. Step 6: Final answer
    x = 17,736.73

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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.