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Finding the Third Proportional to 29,608 and 63,968

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Solution

The third proportional to 29,608 and 63,968 is: 138,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,608 : 63,968 = 63,968 : x
  2. Step 2: Convert to fraction form
    29,608/63,968 = 63,968/x
  3. Step 3: Cross multiply
    29,608x = 63,968 × 63,968
  4. Step 4: Simplify right side
    29,608x = 4,091,905,024
  5. Step 5: Solve for x
    x = 4,091,905,024/29,608
  6. Step 6: Final answer
    x = 138,202.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.