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Finding the Third Proportional to 5,075 and 9,511

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Solution

The third proportional to 5,075 and 9,511 is: 17,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075 : 9,511 = 9,511 : x
  2. Step 2: Convert to fraction form
    5,075/9,511 = 9,511/x
  3. Step 3: Cross multiply
    5,075x = 9,511 × 9,511
  4. Step 4: Simplify right side
    5,075x = 90,459,121
  5. Step 5: Solve for x
    x = 90,459,121/5,075
  6. Step 6: Final answer
    x = 17,824.46

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.