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Finding the Third Proportional to 4,698 and 6,903

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Solution

The third proportional to 4,698 and 6,903 is: 10,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698 : 6,903 = 6,903 : x
  2. Step 2: Convert to fraction form
    4,698/6,903 = 6,903/x
  3. Step 3: Cross multiply
    4,698x = 6,903 × 6,903
  4. Step 4: Simplify right side
    4,698x = 47,651,409
  5. Step 5: Solve for x
    x = 47,651,409/4,698
  6. Step 6: Final answer
    x = 10,142.91

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Why These Related Problems?

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