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Finding the Third Proportional to 35,760 and 53,400

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Solution

The third proportional to 35,760 and 53,400 is: 79,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,760 : 53,400 = 53,400 : x
  2. Step 2: Convert to fraction form
    35,760/53,400 = 53,400/x
  3. Step 3: Cross multiply
    35,760x = 53,400 × 53,400
  4. Step 4: Simplify right side
    35,760x = 2,851,560,000
  5. Step 5: Solve for x
    x = 2,851,560,000/35,760
  6. Step 6: Final answer
    x = 79,741.61

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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.