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Finding the Third Proportional to 8,975.81 and 12,074.06

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Solution

The third proportional to 8,975.81 and 12,074.06 is: 16,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.81 : 12,074.06 = 12,074.06 : x
  2. Step 2: Convert to fraction form
    8,975.81/12,074.06 = 12,074.06/x
  3. Step 3: Cross multiply
    8,975.81x = 12,074.06 × 12,074.06
  4. Step 4: Simplify right side
    8,975.81x = 145,782,985.25
  5. Step 5: Solve for x
    x = 145,782,985.25/8,975.81
  6. Step 6: Final answer
    x = 16,241.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.