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Finding the Third Proportional to 63,828 and 81,283.50

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Solution

The third proportional to 63,828 and 81,283.50 is: 103,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,828 : 81,283.50 = 81,283.50 : x
  2. Step 2: Convert to fraction form
    63,828/81,283.50 = 81,283.50/x
  3. Step 3: Cross multiply
    63,828x = 81,283.50 × 81,283.50
  4. Step 4: Simplify right side
    63,828x = 6,607,007,372.25
  5. Step 5: Solve for x
    x = 6,607,007,372.25/63,828
  6. Step 6: Final answer
    x = 103,512.68

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.