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Finding the Third Proportional to 21,623 and 32,878

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Solution

The third proportional to 21,623 and 32,878 is: 49,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,623 : 32,878 = 32,878 : x
  2. Step 2: Convert to fraction form
    21,623/32,878 = 32,878/x
  3. Step 3: Cross multiply
    21,623x = 32,878 × 32,878
  4. Step 4: Simplify right side
    21,623x = 1,080,962,884
  5. Step 5: Solve for x
    x = 1,080,962,884/21,623
  6. Step 6: Final answer
    x = 49,991.35

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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.