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Finding the Third Proportional to 30,210 and 61,938

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Solution

The third proportional to 30,210 and 61,938 is: 126,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210 : 61,938 = 61,938 : x
  2. Step 2: Convert to fraction form
    30,210/61,938 = 61,938/x
  3. Step 3: Cross multiply
    30,210x = 61,938 × 61,938
  4. Step 4: Simplify right side
    30,210x = 3,836,315,844
  5. Step 5: Solve for x
    x = 3,836,315,844/30,210
  6. Step 6: Final answer
    x = 126,988.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.