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Finding the Third Proportional to 10,075.50 and 20,797.88

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Solution

The third proportional to 10,075.50 and 20,797.88 is: 42,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.50 : 20,797.88 = 20,797.88 : x
  2. Step 2: Convert to fraction form
    10,075.50/20,797.88 = 20,797.88/x
  3. Step 3: Cross multiply
    10,075.50x = 20,797.88 × 20,797.88
  4. Step 4: Simplify right side
    10,075.50x = 432,551,604.52
  5. Step 5: Solve for x
    x = 432,551,604.52/10,075.50
  6. Step 6: Final answer
    x = 42,931.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.