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Finding the Third Proportional to 63,216 and 84,828

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Solution

The third proportional to 63,216 and 84,828 is: 113,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,216 : 84,828 = 84,828 : x
  2. Step 2: Convert to fraction form
    63,216/84,828 = 84,828/x
  3. Step 3: Cross multiply
    63,216x = 84,828 × 84,828
  4. Step 4: Simplify right side
    63,216x = 7,195,789,584
  5. Step 5: Solve for x
    x = 7,195,789,584/63,216
  6. Step 6: Final answer
    x = 113,828.61

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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.