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Finding the Third Proportional to 8,484.75 and 14,863.50

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Solution

The third proportional to 8,484.75 and 14,863.50 is: 26,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.75 : 14,863.50 = 14,863.50 : x
  2. Step 2: Convert to fraction form
    8,484.75/14,863.50 = 14,863.50/x
  3. Step 3: Cross multiply
    8,484.75x = 14,863.50 × 14,863.50
  4. Step 4: Simplify right side
    8,484.75x = 220,923,632.25
  5. Step 5: Solve for x
    x = 220,923,632.25/8,484.75
  6. Step 6: Final answer
    x = 26,037.73

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.