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Finding the Third Proportional to 30,996 and 39,798

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Solution

The third proportional to 30,996 and 39,798 is: 51,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996 : 39,798 = 39,798 : x
  2. Step 2: Convert to fraction form
    30,996/39,798 = 39,798/x
  3. Step 3: Cross multiply
    30,996x = 39,798 × 39,798
  4. Step 4: Simplify right side
    30,996x = 1,583,880,804
  5. Step 5: Solve for x
    x = 1,583,880,804/30,996
  6. Step 6: Final answer
    x = 51,099.52

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.