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Finding the Third Proportional to 12,042 and 18,916.88

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Solution

The third proportional to 12,042 and 18,916.88 is: 29,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042 : 18,916.88 = 18,916.88 : x
  2. Step 2: Convert to fraction form
    12,042/18,916.88 = 18,916.88/x
  3. Step 3: Cross multiply
    12,042x = 18,916.88 × 18,916.88
  4. Step 4: Simplify right side
    12,042x = 357,848,159.77
  5. Step 5: Solve for x
    x = 357,848,159.77/12,042
  6. Step 6: Final answer
    x = 29,716.67

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.