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Finding the Third Proportional to 31,075 and 46,612

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Solution

The third proportional to 31,075 and 46,612 is: 69,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075 : 46,612 = 46,612 : x
  2. Step 2: Convert to fraction form
    31,075/46,612 = 46,612/x
  3. Step 3: Cross multiply
    31,075x = 46,612 × 46,612
  4. Step 4: Simplify right side
    31,075x = 2,172,678,544
  5. Step 5: Solve for x
    x = 2,172,678,544/31,075
  6. Step 6: Final answer
    x = 69,917.25

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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.