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Finding the Third Proportional to 6,611.63 and 10,629.56

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Solution

The third proportional to 6,611.63 and 10,629.56 is: 17,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.63 : 10,629.56 = 10,629.56 : x
  2. Step 2: Convert to fraction form
    6,611.63/10,629.56 = 10,629.56/x
  3. Step 3: Cross multiply
    6,611.63x = 10,629.56 × 10,629.56
  4. Step 4: Simplify right side
    6,611.63x = 112,987,598.94
  5. Step 5: Solve for x
    x = 112,987,598.94/6,611.63
  6. Step 6: Final answer
    x = 17,089.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.