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Finding the Third Proportional to 21,180.45 and 45,847.76

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Solution

The third proportional to 21,180.45 and 45,847.76 is: 99,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,180.45 : 45,847.76 = 45,847.76 : x
  2. Step 2: Convert to fraction form
    21,180.45/45,847.76 = 45,847.76/x
  3. Step 3: Cross multiply
    21,180.45x = 45,847.76 × 45,847.76
  4. Step 4: Simplify right side
    21,180.45x = 2,102,016,896.43
  5. Step 5: Solve for x
    x = 2,102,016,896.43/21,180.45
  6. Step 6: Final answer
    x = 99,243.28

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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.