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Finding the Third Proportional to 7,457 and 9,041

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Solution

The third proportional to 7,457 and 9,041 is: 10,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457 : 9,041 = 9,041 : x
  2. Step 2: Convert to fraction form
    7,457/9,041 = 9,041/x
  3. Step 3: Cross multiply
    7,457x = 9,041 × 9,041
  4. Step 4: Simplify right side
    7,457x = 81,739,681
  5. Step 5: Solve for x
    x = 81,739,681/7,457
  6. Step 6: Final answer
    x = 10,961.47

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.