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Finding the Third Proportional to 8,106.50 and 12,405.75

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Solution

The third proportional to 8,106.50 and 12,405.75 is: 18,985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.50 : 12,405.75 = 12,405.75 : x
  2. Step 2: Convert to fraction form
    8,106.50/12,405.75 = 12,405.75/x
  3. Step 3: Cross multiply
    8,106.50x = 12,405.75 × 12,405.75
  4. Step 4: Simplify right side
    8,106.50x = 153,902,633.06
  5. Step 5: Solve for x
    x = 153,902,633.06/8,106.50
  6. Step 6: Final answer
    x = 18,985.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.