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Finding the Third Proportional to 21,026.50 and 32,197

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Solution

The third proportional to 21,026.50 and 32,197 is: 49,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,026.50 : 32,197 = 32,197 : x
  2. Step 2: Convert to fraction form
    21,026.50/32,197 = 32,197/x
  3. Step 3: Cross multiply
    21,026.50x = 32,197 × 32,197
  4. Step 4: Simplify right side
    21,026.50x = 1,036,646,809
  5. Step 5: Solve for x
    x = 1,036,646,809/21,026.50
  6. Step 6: Final answer
    x = 49,301.92

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