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

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Solution

The third proportional to 29,608 and 63,608 is: 136,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,608 : 63,608 = 63,608 : x
  2. Step 2: Convert to fraction form
    29,608/63,608 = 63,608/x
  3. Step 3: Cross multiply
    29,608x = 63,608 × 63,608
  4. Step 4: Simplify right side
    29,608x = 4,045,977,664
  5. Step 5: Solve for x
    x = 4,045,977,664/29,608
  6. Step 6: Final answer
    x = 136,651.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.