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Finding the Third Proportional to 35,030 and 51,393

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Solution

The third proportional to 35,030 and 51,393 is: 75,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,030 : 51,393 = 51,393 : x
  2. Step 2: Convert to fraction form
    35,030/51,393 = 51,393/x
  3. Step 3: Cross multiply
    35,030x = 51,393 × 51,393
  4. Step 4: Simplify right side
    35,030x = 2,641,240,449
  5. Step 5: Solve for x
    x = 2,641,240,449/35,030
  6. Step 6: Final answer
    x = 75,399.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.