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Finding the Third Proportional to 9,672.75 and 19,602

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Solution

The third proportional to 9,672.75 and 19,602 is: 39,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.75 : 19,602 = 19,602 : x
  2. Step 2: Convert to fraction form
    9,672.75/19,602 = 19,602/x
  3. Step 3: Cross multiply
    9,672.75x = 19,602 × 19,602
  4. Step 4: Simplify right side
    9,672.75x = 384,238,404
  5. Step 5: Solve for x
    x = 384,238,404/9,672.75
  6. Step 6: Final answer
    x = 39,723.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.