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Finding the Third Proportional to 12,516.19 and 19,492.31

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Solution

The third proportional to 12,516.19 and 19,492.31 is: 30,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,516.19 : 19,492.31 = 19,492.31 : x
  2. Step 2: Convert to fraction form
    12,516.19/19,492.31 = 19,492.31/x
  3. Step 3: Cross multiply
    12,516.19x = 19,492.31 × 19,492.31
  4. Step 4: Simplify right side
    12,516.19x = 379,950,246.60
  5. Step 5: Solve for x
    x = 379,950,246.60/12,516.19
  6. Step 6: Final answer
    x = 30,356.71

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.