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Finding the Third Proportional to 4,628.88 and 6,614.69

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Solution

The third proportional to 4,628.88 and 6,614.69 is: 9,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.88 : 6,614.69 = 6,614.69 : x
  2. Step 2: Convert to fraction form
    4,628.88/6,614.69 = 6,614.69/x
  3. Step 3: Cross multiply
    4,628.88x = 6,614.69 × 6,614.69
  4. Step 4: Simplify right side
    4,628.88x = 43,754,090.72
  5. Step 5: Solve for x
    x = 43,754,090.72/4,628.88
  6. Step 6: Final answer
    x = 9,452.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.