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Finding the Third Proportional to 7,828 and 10,524

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Solution

The third proportional to 7,828 and 10,524 is: 14,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828 : 10,524 = 10,524 : x
  2. Step 2: Convert to fraction form
    7,828/10,524 = 10,524/x
  3. Step 3: Cross multiply
    7,828x = 10,524 × 10,524
  4. Step 4: Simplify right side
    7,828x = 110,754,576
  5. Step 5: Solve for x
    x = 110,754,576/7,828
  6. Step 6: Final answer
    x = 14,148.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.