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Finding the Third Proportional to 21,397.50 and 32,936.63

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Solution

The third proportional to 21,397.50 and 32,936.63 is: 50,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397.50 : 32,936.63 = 32,936.63 : x
  2. Step 2: Convert to fraction form
    21,397.50/32,936.63 = 32,936.63/x
  3. Step 3: Cross multiply
    21,397.50x = 32,936.63 × 32,936.63
  4. Step 4: Simplify right side
    21,397.50x = 1,084,821,266.39
  5. Step 5: Solve for x
    x = 1,084,821,266.39/21,397.50
  6. Step 6: Final answer
    x = 50,698.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.