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Finding the Third Proportional to 40,675.50 and 97,956

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Solution

The third proportional to 40,675.50 and 97,956 is: 235,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,675.50 : 97,956 = 97,956 : x
  2. Step 2: Convert to fraction form
    40,675.50/97,956 = 97,956/x
  3. Step 3: Cross multiply
    40,675.50x = 97,956 × 97,956
  4. Step 4: Simplify right side
    40,675.50x = 9,595,377,936
  5. Step 5: Solve for x
    x = 9,595,377,936/40,675.50
  6. Step 6: Final answer
    x = 235,900.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.