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Finding the Third Proportional to 12,916.34 and 19,950.68

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Solution

The third proportional to 12,916.34 and 19,950.68 is: 30,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.34 : 19,950.68 = 19,950.68 : x
  2. Step 2: Convert to fraction form
    12,916.34/19,950.68 = 19,950.68/x
  3. Step 3: Cross multiply
    12,916.34x = 19,950.68 × 19,950.68
  4. Step 4: Simplify right side
    12,916.34x = 398,029,619.99
  5. Step 5: Solve for x
    x = 398,029,619.99/12,916.34
  6. Step 6: Final answer
    x = 30,815.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.