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Finding the Third Proportional to 13,563 and 19,929

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Solution

The third proportional to 13,563 and 19,929 is: 29,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563 : 19,929 = 19,929 : x
  2. Step 2: Convert to fraction form
    13,563/19,929 = 19,929/x
  3. Step 3: Cross multiply
    13,563x = 19,929 × 19,929
  4. Step 4: Simplify right side
    13,563x = 397,165,041
  5. Step 5: Solve for x
    x = 397,165,041/13,563
  6. Step 6: Final answer
    x = 29,282.98

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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.