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Finding the Third Proportional to 909 and 1,938.94

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Solution

The third proportional to 909 and 1,938.94 is: 4,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    909 : 1,938.94 = 1,938.94 : x
  2. Step 2: Convert to fraction form
    909/1,938.94 = 1,938.94/x
  3. Step 3: Cross multiply
    909x = 1,938.94 × 1,938.94
  4. Step 4: Simplify right side
    909x = 3,759,478.63
  5. Step 5: Solve for x
    x = 3,759,478.63/909
  6. Step 6: Final answer
    x = 4,135.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.