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Finding the Third Proportional to 13,042 and 19,653

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Solution

The third proportional to 13,042 and 19,653 is: 29,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042 : 19,653 = 19,653 : x
  2. Step 2: Convert to fraction form
    13,042/19,653 = 19,653/x
  3. Step 3: Cross multiply
    13,042x = 19,653 × 19,653
  4. Step 4: Simplify right side
    13,042x = 386,240,409
  5. Step 5: Solve for x
    x = 386,240,409/13,042
  6. Step 6: Final answer
    x = 29,615.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.