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Finding the Third Proportional to 35,071 and 50,763

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Solution

The third proportional to 35,071 and 50,763 is: 73,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,071 : 50,763 = 50,763 : x
  2. Step 2: Convert to fraction form
    35,071/50,763 = 50,763/x
  3. Step 3: Cross multiply
    35,071x = 50,763 × 50,763
  4. Step 4: Simplify right side
    35,071x = 2,576,882,169
  5. Step 5: Solve for x
    x = 2,576,882,169/35,071
  6. Step 6: Final answer
    x = 73,476.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.