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Finding the Third Proportional to 8,303 and 12,336.88

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Solution

The third proportional to 8,303 and 12,336.88 is: 18,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303 : 12,336.88 = 12,336.88 : x
  2. Step 2: Convert to fraction form
    8,303/12,336.88 = 12,336.88/x
  3. Step 3: Cross multiply
    8,303x = 12,336.88 × 12,336.88
  4. Step 4: Simplify right side
    8,303x = 152,198,484.77
  5. Step 5: Solve for x
    x = 152,198,484.77/8,303
  6. Step 6: Final answer
    x = 18,330.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.