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Finding the Third Proportional to 11,679 and 18,592.50

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Solution

The third proportional to 11,679 and 18,592.50 is: 29,598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679 : 18,592.50 = 18,592.50 : x
  2. Step 2: Convert to fraction form
    11,679/18,592.50 = 18,592.50/x
  3. Step 3: Cross multiply
    11,679x = 18,592.50 × 18,592.50
  4. Step 4: Simplify right side
    11,679x = 345,681,056.25
  5. Step 5: Solve for x
    x = 345,681,056.25/11,679
  6. Step 6: Final answer
    x = 29,598.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.