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Finding the Third Proportional to 21,178 and 33,501

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Solution

The third proportional to 21,178 and 33,501 is: 52,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178 : 33,501 = 33,501 : x
  2. Step 2: Convert to fraction form
    21,178/33,501 = 33,501/x
  3. Step 3: Cross multiply
    21,178x = 33,501 × 33,501
  4. Step 4: Simplify right side
    21,178x = 1,122,317,001
  5. Step 5: Solve for x
    x = 1,122,317,001/21,178
  6. Step 6: Final answer
    x = 52,994.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.