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Finding the Third Proportional to 29,098 and 43,648

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Solution

The third proportional to 29,098 and 43,648 is: 65,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098 : 43,648 = 43,648 : x
  2. Step 2: Convert to fraction form
    29,098/43,648 = 43,648/x
  3. Step 3: Cross multiply
    29,098x = 43,648 × 43,648
  4. Step 4: Simplify right side
    29,098x = 1,905,147,904
  5. Step 5: Solve for x
    x = 1,905,147,904/29,098
  6. Step 6: Final answer
    x = 65,473.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.