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Finding the Third Proportional to 9,619 and 14,813

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Solution

The third proportional to 9,619 and 14,813 is: 22,811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619 : 14,813 = 14,813 : x
  2. Step 2: Convert to fraction form
    9,619/14,813 = 14,813/x
  3. Step 3: Cross multiply
    9,619x = 14,813 × 14,813
  4. Step 4: Simplify right side
    9,619x = 219,424,969
  5. Step 5: Solve for x
    x = 219,424,969/9,619
  6. Step 6: Final answer
    x = 22,811.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.