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Finding the Third Proportional to 13,083 and 19,653

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Solution

The third proportional to 13,083 and 19,653 is: 29,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083 : 19,653 = 19,653 : x
  2. Step 2: Convert to fraction form
    13,083/19,653 = 19,653/x
  3. Step 3: Cross multiply
    13,083x = 19,653 × 19,653
  4. Step 4: Simplify right side
    13,083x = 386,240,409
  5. Step 5: Solve for x
    x = 386,240,409/13,083
  6. Step 6: Final answer
    x = 29,522.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.