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Finding the Third Proportional to 8,241.75 and 12,570.19

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Solution

The third proportional to 8,241.75 and 12,570.19 is: 19,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.75 : 12,570.19 = 12,570.19 : x
  2. Step 2: Convert to fraction form
    8,241.75/12,570.19 = 12,570.19/x
  3. Step 3: Cross multiply
    8,241.75x = 12,570.19 × 12,570.19
  4. Step 4: Simplify right side
    8,241.75x = 158,009,613.79
  5. Step 5: Solve for x
    x = 158,009,613.79/8,241.75
  6. Step 6: Final answer
    x = 19,171.85

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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.