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Finding the Third Proportional to 7,172.63 and 10,910.63

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Solution

The third proportional to 7,172.63 and 10,910.63 is: 16,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.63 : 10,910.63 = 10,910.63 : x
  2. Step 2: Convert to fraction form
    7,172.63/10,910.63 = 10,910.63/x
  3. Step 3: Cross multiply
    7,172.63x = 10,910.63 × 10,910.63
  4. Step 4: Simplify right side
    7,172.63x = 119,041,737.89
  5. Step 5: Solve for x
    x = 119,041,737.89/7,172.63
  6. Step 6: Final answer
    x = 16,596.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.