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Finding the Third Proportional to 12,318 and 27,095

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Solution

The third proportional to 12,318 and 27,095 is: 59,598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318 : 27,095 = 27,095 : x
  2. Step 2: Convert to fraction form
    12,318/27,095 = 27,095/x
  3. Step 3: Cross multiply
    12,318x = 27,095 × 27,095
  4. Step 4: Simplify right side
    12,318x = 734,139,025
  5. Step 5: Solve for x
    x = 734,139,025/12,318
  6. Step 6: Final answer
    x = 59,598.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.