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Finding the Third Proportional to 16,220.25 and 21,864.94

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Solution

The third proportional to 16,220.25 and 21,864.94 is: 29,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.25 : 21,864.94 = 21,864.94 : x
  2. Step 2: Convert to fraction form
    16,220.25/21,864.94 = 21,864.94/x
  3. Step 3: Cross multiply
    16,220.25x = 21,864.94 × 21,864.94
  4. Step 4: Simplify right side
    16,220.25x = 478,075,491.88
  5. Step 5: Solve for x
    x = 478,075,491.88/16,220.25
  6. Step 6: Final answer
    x = 29,473.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.