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Finding the Third Proportional to 10,020.80 and 21,647.67

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Solution

The third proportional to 10,020.80 and 21,647.67 is: 46,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.80 : 21,647.67 = 21,647.67 : x
  2. Step 2: Convert to fraction form
    10,020.80/21,647.67 = 21,647.67/x
  3. Step 3: Cross multiply
    10,020.80x = 21,647.67 × 21,647.67
  4. Step 4: Simplify right side
    10,020.80x = 468,621,697.61
  5. Step 5: Solve for x
    x = 468,621,697.61/10,020.80
  6. Step 6: Final answer
    x = 46,764.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.