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Finding the Third Proportional to 14,546 and 21,929

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Solution

The third proportional to 14,546 and 21,929 is: 33,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546 : 21,929 = 21,929 : x
  2. Step 2: Convert to fraction form
    14,546/21,929 = 21,929/x
  3. Step 3: Cross multiply
    14,546x = 21,929 × 21,929
  4. Step 4: Simplify right side
    14,546x = 480,881,041
  5. Step 5: Solve for x
    x = 480,881,041/14,546
  6. Step 6: Final answer
    x = 33,059.33

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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.