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Finding the Third Proportional to 30,075.75 and 44,646.75

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Solution

The third proportional to 30,075.75 and 44,646.75 is: 66,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075.75 : 44,646.75 = 44,646.75 : x
  2. Step 2: Convert to fraction form
    30,075.75/44,646.75 = 44,646.75/x
  3. Step 3: Cross multiply
    30,075.75x = 44,646.75 × 44,646.75
  4. Step 4: Simplify right side
    30,075.75x = 1,993,332,285.56
  5. Step 5: Solve for x
    x = 1,993,332,285.56/30,075.75
  6. Step 6: Final answer
    x = 66,277.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.