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Finding the Third Proportional to 29,212 and 44,088

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Solution

The third proportional to 29,212 and 44,088 is: 66,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,212 : 44,088 = 44,088 : x
  2. Step 2: Convert to fraction form
    29,212/44,088 = 44,088/x
  3. Step 3: Cross multiply
    29,212x = 44,088 × 44,088
  4. Step 4: Simplify right side
    29,212x = 1,943,751,744
  5. Step 5: Solve for x
    x = 1,943,751,744/29,212
  6. Step 6: Final answer
    x = 66,539.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.