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Finding the Third Proportional to 28,968 and 63,568

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Solution

The third proportional to 28,968 and 63,568 is: 139,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,968 : 63,568 = 63,568 : x
  2. Step 2: Convert to fraction form
    28,968/63,568 = 63,568/x
  3. Step 3: Cross multiply
    28,968x = 63,568 × 63,568
  4. Step 4: Simplify right side
    28,968x = 4,040,890,624
  5. Step 5: Solve for x
    x = 4,040,890,624/28,968
  6. Step 6: Final answer
    x = 139,494.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.