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Finding the Third Proportional to 32,973 and 71,418

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Solution

The third proportional to 32,973 and 71,418 is: 154,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,973 : 71,418 = 71,418 : x
  2. Step 2: Convert to fraction form
    32,973/71,418 = 71,418/x
  3. Step 3: Cross multiply
    32,973x = 71,418 × 71,418
  4. Step 4: Simplify right side
    32,973x = 5,100,530,724
  5. Step 5: Solve for x
    x = 5,100,530,724/32,973
  6. Step 6: Final answer
    x = 154,688.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.