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Finding the Third Proportional to 29,587 and 44,269

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Solution

The third proportional to 29,587 and 44,269 is: 66,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,587 : 44,269 = 44,269 : x
  2. Step 2: Convert to fraction form
    29,587/44,269 = 44,269/x
  3. Step 3: Cross multiply
    29,587x = 44,269 × 44,269
  4. Step 4: Simplify right side
    29,587x = 1,959,744,361
  5. Step 5: Solve for x
    x = 1,959,744,361/29,587
  6. Step 6: Final answer
    x = 66,236.67

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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.