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Finding the Third Proportional to 35,574 and 51,524

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Solution

The third proportional to 35,574 and 51,524 is: 74,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574 : 51,524 = 51,524 : x
  2. Step 2: Convert to fraction form
    35,574/51,524 = 51,524/x
  3. Step 3: Cross multiply
    35,574x = 51,524 × 51,524
  4. Step 4: Simplify right side
    35,574x = 2,654,722,576
  5. Step 5: Solve for x
    x = 2,654,722,576/35,574
  6. Step 6: Final answer
    x = 74,625.36

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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.