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Finding the Third Proportional to 35,969 and 54,440

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Solution

The third proportional to 35,969 and 54,440 is: 82,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,969 : 54,440 = 54,440 : x
  2. Step 2: Convert to fraction form
    35,969/54,440 = 54,440/x
  3. Step 3: Cross multiply
    35,969x = 54,440 × 54,440
  4. Step 4: Simplify right side
    35,969x = 2,963,713,600
  5. Step 5: Solve for x
    x = 2,963,713,600/35,969
  6. Step 6: Final answer
    x = 82,396.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.