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Finding the Third Proportional to 13,984.84 and 21,271.99

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Solution

The third proportional to 13,984.84 and 21,271.99 is: 32,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.84 : 21,271.99 = 21,271.99 : x
  2. Step 2: Convert to fraction form
    13,984.84/21,271.99 = 21,271.99/x
  3. Step 3: Cross multiply
    13,984.84x = 21,271.99 × 21,271.99
  4. Step 4: Simplify right side
    13,984.84x = 452,497,651.63
  5. Step 5: Solve for x
    x = 452,497,651.63/13,984.84
  6. Step 6: Final answer
    x = 32,356.30

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.