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Finding the Third Proportional to 7,580 and 16,075

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Solution

The third proportional to 7,580 and 16,075 is: 34,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580 : 16,075 = 16,075 : x
  2. Step 2: Convert to fraction form
    7,580/16,075 = 16,075/x
  3. Step 3: Cross multiply
    7,580x = 16,075 × 16,075
  4. Step 4: Simplify right side
    7,580x = 258,405,625
  5. Step 5: Solve for x
    x = 258,405,625/7,580
  6. Step 6: Final answer
    x = 34,090.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.