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Finding the Third Proportional to 21,271 and 32,996

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Solution

The third proportional to 21,271 and 32,996 is: 51,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,271 : 32,996 = 32,996 : x
  2. Step 2: Convert to fraction form
    21,271/32,996 = 32,996/x
  3. Step 3: Cross multiply
    21,271x = 32,996 × 32,996
  4. Step 4: Simplify right side
    21,271x = 1,088,736,016
  5. Step 5: Solve for x
    x = 1,088,736,016/21,271
  6. Step 6: Final answer
    x = 51,184.05

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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.