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Finding the Third Proportional to 46,957.50 and 96,075

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Solution

The third proportional to 46,957.50 and 96,075 is: 196,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,957.50 : 96,075 = 96,075 : x
  2. Step 2: Convert to fraction form
    46,957.50/96,075 = 96,075/x
  3. Step 3: Cross multiply
    46,957.50x = 96,075 × 96,075
  4. Step 4: Simplify right side
    46,957.50x = 9,230,405,625
  5. Step 5: Solve for x
    x = 9,230,405,625/46,957.50
  6. Step 6: Final answer
    x = 196,569.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.