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Finding the Third Proportional to 39,511 and 60,954

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Solution

The third proportional to 39,511 and 60,954 is: 94,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,511 : 60,954 = 60,954 : x
  2. Step 2: Convert to fraction form
    39,511/60,954 = 60,954/x
  3. Step 3: Cross multiply
    39,511x = 60,954 × 60,954
  4. Step 4: Simplify right side
    39,511x = 3,715,390,116
  5. Step 5: Solve for x
    x = 3,715,390,116/39,511
  6. Step 6: Final answer
    x = 94,034.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.