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Finding the Third Proportional to 46,996 and 71,982

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Solution

The third proportional to 46,996 and 71,982 is: 110,252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,996 : 71,982 = 71,982 : x
  2. Step 2: Convert to fraction form
    46,996/71,982 = 71,982/x
  3. Step 3: Cross multiply
    46,996x = 71,982 × 71,982
  4. Step 4: Simplify right side
    46,996x = 5,181,408,324
  5. Step 5: Solve for x
    x = 5,181,408,324/46,996
  6. Step 6: Final answer
    x = 110,252.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.