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Finding the Third Proportional to 9,075 and 10,047

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Solution

The third proportional to 9,075 and 10,047 is: 11,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075 : 10,047 = 10,047 : x
  2. Step 2: Convert to fraction form
    9,075/10,047 = 10,047/x
  3. Step 3: Cross multiply
    9,075x = 10,047 × 10,047
  4. Step 4: Simplify right side
    9,075x = 100,942,209
  5. Step 5: Solve for x
    x = 100,942,209/9,075
  6. Step 6: Final answer
    x = 11,123.11

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.