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Finding the Third Proportional to 13,994 and 21,929

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Solution

The third proportional to 13,994 and 21,929 is: 34,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994 : 21,929 = 21,929 : x
  2. Step 2: Convert to fraction form
    13,994/21,929 = 21,929/x
  3. Step 3: Cross multiply
    13,994x = 21,929 × 21,929
  4. Step 4: Simplify right side
    13,994x = 480,881,041
  5. Step 5: Solve for x
    x = 480,881,041/13,994
  6. Step 6: Final answer
    x = 34,363.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.