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Finding the Third Proportional to 21,301 and 32,250

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Solution

The third proportional to 21,301 and 32,250 is: 48,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,301 : 32,250 = 32,250 : x
  2. Step 2: Convert to fraction form
    21,301/32,250 = 32,250/x
  3. Step 3: Cross multiply
    21,301x = 32,250 × 32,250
  4. Step 4: Simplify right side
    21,301x = 1,040,062,500
  5. Step 5: Solve for x
    x = 1,040,062,500/21,301
  6. Step 6: Final answer
    x = 48,826.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.