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Finding the Third Proportional to 13,020.75 and 20,300.06

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Solution

The third proportional to 13,020.75 and 20,300.06 is: 31,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.75 : 20,300.06 = 20,300.06 : x
  2. Step 2: Convert to fraction form
    13,020.75/20,300.06 = 20,300.06/x
  3. Step 3: Cross multiply
    13,020.75x = 20,300.06 × 20,300.06
  4. Step 4: Simplify right side
    13,020.75x = 412,092,537.50
  5. Step 5: Solve for x
    x = 412,092,537.50/13,020.75
  6. Step 6: Final answer
    x = 31,648.91

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.