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Finding the Third Proportional to 29,238 and 44,119.50

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Solution

The third proportional to 29,238 and 44,119.50 is: 66,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238 : 44,119.50 = 44,119.50 : x
  2. Step 2: Convert to fraction form
    29,238/44,119.50 = 44,119.50/x
  3. Step 3: Cross multiply
    29,238x = 44,119.50 × 44,119.50
  4. Step 4: Simplify right side
    29,238x = 1,946,530,280.25
  5. Step 5: Solve for x
    x = 1,946,530,280.25/29,238
  6. Step 6: Final answer
    x = 66,575.36

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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.