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Finding the Third Proportional to 13,671.38 and 21,089.44

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Solution

The third proportional to 13,671.38 and 21,089.44 is: 32,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.38 : 21,089.44 = 21,089.44 : x
  2. Step 2: Convert to fraction form
    13,671.38/21,089.44 = 21,089.44/x
  3. Step 3: Cross multiply
    13,671.38x = 21,089.44 × 21,089.44
  4. Step 4: Simplify right side
    13,671.38x = 444,764,374.07
  5. Step 5: Solve for x
    x = 444,764,374.07/13,671.38
  6. Step 6: Final answer
    x = 32,532.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.