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Finding the Third Proportional to 5,905.41 and 12,281.63

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Solution

The third proportional to 5,905.41 and 12,281.63 is: 25,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.41 : 12,281.63 = 12,281.63 : x
  2. Step 2: Convert to fraction form
    5,905.41/12,281.63 = 12,281.63/x
  3. Step 3: Cross multiply
    5,905.41x = 12,281.63 × 12,281.63
  4. Step 4: Simplify right side
    5,905.41x = 150,838,312.64
  5. Step 5: Solve for x
    x = 150,838,312.64/5,905.41
  6. Step 6: Final answer
    x = 25,542.41

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.