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Finding the Third Proportional to 46,050 and 69,075

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Solution

The third proportional to 46,050 and 69,075 is: 103,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,050 : 69,075 = 69,075 : x
  2. Step 2: Convert to fraction form
    46,050/69,075 = 69,075/x
  3. Step 3: Cross multiply
    46,050x = 69,075 × 69,075
  4. Step 4: Simplify right side
    46,050x = 4,771,355,625
  5. Step 5: Solve for x
    x = 4,771,355,625/46,050
  6. Step 6: Final answer
    x = 103,612.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.