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Finding the Third Proportional to 28,586 and 63,729

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Solution

The third proportional to 28,586 and 63,729 is: 142,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,586 : 63,729 = 63,729 : x
  2. Step 2: Convert to fraction form
    28,586/63,729 = 63,729/x
  3. Step 3: Cross multiply
    28,586x = 63,729 × 63,729
  4. Step 4: Simplify right side
    28,586x = 4,061,385,441
  5. Step 5: Solve for x
    x = 4,061,385,441/28,586
  6. Step 6: Final answer
    x = 142,076.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.