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Finding the Third Proportional to 35,523 and 53,041

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Solution

The third proportional to 35,523 and 53,041 is: 79,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,523 : 53,041 = 53,041 : x
  2. Step 2: Convert to fraction form
    35,523/53,041 = 53,041/x
  3. Step 3: Cross multiply
    35,523x = 53,041 × 53,041
  4. Step 4: Simplify right side
    35,523x = 2,813,347,681
  5. Step 5: Solve for x
    x = 2,813,347,681/35,523
  6. Step 6: Final answer
    x = 79,197.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.