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Finding the Third Proportional to 40,797 and 94,675.50

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Solution

The third proportional to 40,797 and 94,675.50 is: 219,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,797 : 94,675.50 = 94,675.50 : x
  2. Step 2: Convert to fraction form
    40,797/94,675.50 = 94,675.50/x
  3. Step 3: Cross multiply
    40,797x = 94,675.50 × 94,675.50
  4. Step 4: Simplify right side
    40,797x = 8,963,450,300.25
  5. Step 5: Solve for x
    x = 8,963,450,300.25/40,797
  6. Step 6: Final answer
    x = 219,708.56

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.