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Finding the Third Proportional to 21,412 and 32,623

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Solution

The third proportional to 21,412 and 32,623 is: 49,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412 : 32,623 = 32,623 : x
  2. Step 2: Convert to fraction form
    21,412/32,623 = 32,623/x
  3. Step 3: Cross multiply
    21,412x = 32,623 × 32,623
  4. Step 4: Simplify right side
    21,412x = 1,064,260,129
  5. Step 5: Solve for x
    x = 1,064,260,129/21,412
  6. Step 6: Final answer
    x = 49,703.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.