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Finding the Third Proportional to 6,075.42 and 8,687.88

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Solution

The third proportional to 6,075.42 and 8,687.88 is: 12,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.42 : 8,687.88 = 8,687.88 : x
  2. Step 2: Convert to fraction form
    6,075.42/8,687.88 = 8,687.88/x
  3. Step 3: Cross multiply
    6,075.42x = 8,687.88 × 8,687.88
  4. Step 4: Simplify right side
    6,075.42x = 75,479,307.76
  5. Step 5: Solve for x
    x = 75,479,307.76/6,075.42
  6. Step 6: Final answer
    x = 12,423.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.