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Finding the Third Proportional to 33,258 and 51,495

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Solution

The third proportional to 33,258 and 51,495 is: 79,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,258 : 51,495 = 51,495 : x
  2. Step 2: Convert to fraction form
    33,258/51,495 = 51,495/x
  3. Step 3: Cross multiply
    33,258x = 51,495 × 51,495
  4. Step 4: Simplify right side
    33,258x = 2,651,735,025
  5. Step 5: Solve for x
    x = 2,651,735,025/33,258
  6. Step 6: Final answer
    x = 79,732.25

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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.