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Finding the Third Proportional to 29,241 and 44,477.25

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Solution

The third proportional to 29,241 and 44,477.25 is: 67,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,241 : 44,477.25 = 44,477.25 : x
  2. Step 2: Convert to fraction form
    29,241/44,477.25 = 44,477.25/x
  3. Step 3: Cross multiply
    29,241x = 44,477.25 × 44,477.25
  4. Step 4: Simplify right side
    29,241x = 1,978,225,767.56
  5. Step 5: Solve for x
    x = 1,978,225,767.56/29,241
  6. Step 6: Final answer
    x = 67,652.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.