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Finding the Third Proportional to 8,037.98 and 12,364.52

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Solution

The third proportional to 8,037.98 and 12,364.52 is: 19,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.98 : 12,364.52 = 12,364.52 : x
  2. Step 2: Convert to fraction form
    8,037.98/12,364.52 = 12,364.52/x
  3. Step 3: Cross multiply
    8,037.98x = 12,364.52 × 12,364.52
  4. Step 4: Simplify right side
    8,037.98x = 152,881,439.84
  5. Step 5: Solve for x
    x = 152,881,439.84/8,037.98
  6. Step 6: Final answer
    x = 19,019.87

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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.