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Finding the Third Proportional to 8,020.50 and 12,010.50

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Solution

The third proportional to 8,020.50 and 12,010.50 is: 17,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.50 : 12,010.50 = 12,010.50 : x
  2. Step 2: Convert to fraction form
    8,020.50/12,010.50 = 12,010.50/x
  3. Step 3: Cross multiply
    8,020.50x = 12,010.50 × 12,010.50
  4. Step 4: Simplify right side
    8,020.50x = 144,252,110.25
  5. Step 5: Solve for x
    x = 144,252,110.25/8,020.50
  6. Step 6: Final answer
    x = 17,985.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.