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Finding the Third Proportional to 21,041 and 32,574

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Solution

The third proportional to 21,041 and 32,574 is: 50,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,041 : 32,574 = 32,574 : x
  2. Step 2: Convert to fraction form
    21,041/32,574 = 32,574/x
  3. Step 3: Cross multiply
    21,041x = 32,574 × 32,574
  4. Step 4: Simplify right side
    21,041x = 1,061,065,476
  5. Step 5: Solve for x
    x = 1,061,065,476/21,041
  6. Step 6: Final answer
    x = 50,428.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.