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Finding the Third Proportional to 9,968.63 and 13,543.88

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Solution

The third proportional to 9,968.63 and 13,543.88 is: 18,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.63 : 13,543.88 = 13,543.88 : x
  2. Step 2: Convert to fraction form
    9,968.63/13,543.88 = 13,543.88/x
  3. Step 3: Cross multiply
    9,968.63x = 13,543.88 × 13,543.88
  4. Step 4: Simplify right side
    9,968.63x = 183,436,550.02
  5. Step 5: Solve for x
    x = 183,436,550.02/9,968.63
  6. Step 6: Final answer
    x = 18,401.39

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.