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Finding the Third Proportional to 12,068 and 13,412

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Solution

The third proportional to 12,068 and 13,412 is: 14,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,068 : 13,412 = 13,412 : x
  2. Step 2: Convert to fraction form
    12,068/13,412 = 13,412/x
  3. Step 3: Cross multiply
    12,068x = 13,412 × 13,412
  4. Step 4: Simplify right side
    12,068x = 179,881,744
  5. Step 5: Solve for x
    x = 179,881,744/12,068
  6. Step 6: Final answer
    x = 14,905.68

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.