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Finding the Third Proportional to 20,984 and 32,492

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Solution

The third proportional to 20,984 and 32,492 is: 50,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984 : 32,492 = 32,492 : x
  2. Step 2: Convert to fraction form
    20,984/32,492 = 32,492/x
  3. Step 3: Cross multiply
    20,984x = 32,492 × 32,492
  4. Step 4: Simplify right side
    20,984x = 1,055,730,064
  5. Step 5: Solve for x
    x = 1,055,730,064/20,984
  6. Step 6: Final answer
    x = 50,311.19

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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.