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Finding the Third Proportional to 21,018.94 and 30,720.09

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Solution

The third proportional to 21,018.94 and 30,720.09 is: 44,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018.94 : 30,720.09 = 30,720.09 : x
  2. Step 2: Convert to fraction form
    21,018.94/30,720.09 = 30,720.09/x
  3. Step 3: Cross multiply
    21,018.94x = 30,720.09 × 30,720.09
  4. Step 4: Simplify right side
    21,018.94x = 943,724,160.01
  5. Step 5: Solve for x
    x = 943,724,160.01/21,018.94
  6. Step 6: Final answer
    x = 44,898.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.