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Finding the Third Proportional to 29,548 and 44,219

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Solution

The third proportional to 29,548 and 44,219 is: 66,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,548 : 44,219 = 44,219 : x
  2. Step 2: Convert to fraction form
    29,548/44,219 = 44,219/x
  3. Step 3: Cross multiply
    29,548x = 44,219 × 44,219
  4. Step 4: Simplify right side
    29,548x = 1,955,319,961
  5. Step 5: Solve for x
    x = 1,955,319,961/29,548
  6. Step 6: Final answer
    x = 66,174.36

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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.