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Finding the Third Proportional to 13,419 and 19,706.63

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Solution

The third proportional to 13,419 and 19,706.63 is: 28,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419 : 19,706.63 = 19,706.63 : x
  2. Step 2: Convert to fraction form
    13,419/19,706.63 = 19,706.63/x
  3. Step 3: Cross multiply
    13,419x = 19,706.63 × 19,706.63
  4. Step 4: Simplify right side
    13,419x = 388,351,068.89
  5. Step 5: Solve for x
    x = 388,351,068.89/13,419
  6. Step 6: Final answer
    x = 28,940.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.