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Finding the Third Proportional to 51,860 and 75,524

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Solution

The third proportional to 51,860 and 75,524 is: 109,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,860 : 75,524 = 75,524 : x
  2. Step 2: Convert to fraction form
    51,860/75,524 = 75,524/x
  3. Step 3: Cross multiply
    51,860x = 75,524 × 75,524
  4. Step 4: Simplify right side
    51,860x = 5,703,874,576
  5. Step 5: Solve for x
    x = 5,703,874,576/51,860
  6. Step 6: Final answer
    x = 109,986.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.