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Finding the Third Proportional to 28,075.50 and 30,505.50

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Solution

The third proportional to 28,075.50 and 30,505.50 is: 33,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,075.50 : 30,505.50 = 30,505.50 : x
  2. Step 2: Convert to fraction form
    28,075.50/30,505.50 = 30,505.50/x
  3. Step 3: Cross multiply
    28,075.50x = 30,505.50 × 30,505.50
  4. Step 4: Simplify right side
    28,075.50x = 930,585,530.25
  5. Step 5: Solve for x
    x = 930,585,530.25/28,075.50
  6. Step 6: Final answer
    x = 33,145.82

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.