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Finding the Third Proportional to 5,075 and 6,985

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Solution

The third proportional to 5,075 and 6,985 is: 9,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075 : 6,985 = 6,985 : x
  2. Step 2: Convert to fraction form
    5,075/6,985 = 6,985/x
  3. Step 3: Cross multiply
    5,075x = 6,985 × 6,985
  4. Step 4: Simplify right side
    5,075x = 48,790,225
  5. Step 5: Solve for x
    x = 48,790,225/5,075
  6. Step 6: Final answer
    x = 9,613.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.