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Finding the Third Proportional to 10,068 and 13,650

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Solution

The third proportional to 10,068 and 13,650 is: 18,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068 : 13,650 = 13,650 : x
  2. Step 2: Convert to fraction form
    10,068/13,650 = 13,650/x
  3. Step 3: Cross multiply
    10,068x = 13,650 × 13,650
  4. Step 4: Simplify right side
    10,068x = 186,322,500
  5. Step 5: Solve for x
    x = 186,322,500/10,068
  6. Step 6: Final answer
    x = 18,506.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.