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Finding the Third Proportional to 51,815 and 76,021

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Solution

The third proportional to 51,815 and 76,021 is: 111,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,815 : 76,021 = 76,021 : x
  2. Step 2: Convert to fraction form
    51,815/76,021 = 76,021/x
  3. Step 3: Cross multiply
    51,815x = 76,021 × 76,021
  4. Step 4: Simplify right side
    51,815x = 5,779,192,441
  5. Step 5: Solve for x
    x = 5,779,192,441/51,815
  6. Step 6: Final answer
    x = 111,535.12

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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.