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Finding the Third Proportional to 21,458 and 32,826

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Solution

The third proportional to 21,458 and 32,826 is: 50,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458 : 32,826 = 32,826 : x
  2. Step 2: Convert to fraction form
    21,458/32,826 = 32,826/x
  3. Step 3: Cross multiply
    21,458x = 32,826 × 32,826
  4. Step 4: Simplify right side
    21,458x = 1,077,546,276
  5. Step 5: Solve for x
    x = 1,077,546,276/21,458
  6. Step 6: Final answer
    x = 50,216.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.