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Finding the Third Proportional to 32,982 and 72,492

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Solution

The third proportional to 32,982 and 72,492 is: 159,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,982 : 72,492 = 72,492 : x
  2. Step 2: Convert to fraction form
    32,982/72,492 = 72,492/x
  3. Step 3: Cross multiply
    32,982x = 72,492 × 72,492
  4. Step 4: Simplify right side
    32,982x = 5,255,090,064
  5. Step 5: Solve for x
    x = 5,255,090,064/32,982
  6. Step 6: Final answer
    x = 159,332.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.