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Finding the Third Proportional to 4,075 and 9,700

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Solution

The third proportional to 4,075 and 9,700 is: 23,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075 : 9,700 = 9,700 : x
  2. Step 2: Convert to fraction form
    4,075/9,700 = 9,700/x
  3. Step 3: Cross multiply
    4,075x = 9,700 × 9,700
  4. Step 4: Simplify right side
    4,075x = 94,090,000
  5. Step 5: Solve for x
    x = 94,090,000/4,075
  6. Step 6: Final answer
    x = 23,089.57

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.