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Finding the Third Proportional to 29,737 and 40,777

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Solution

The third proportional to 29,737 and 40,777 is: 55,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,737 : 40,777 = 40,777 : x
  2. Step 2: Convert to fraction form
    29,737/40,777 = 40,777/x
  3. Step 3: Cross multiply
    29,737x = 40,777 × 40,777
  4. Step 4: Simplify right side
    29,737x = 1,662,763,729
  5. Step 5: Solve for x
    x = 1,662,763,729/29,737
  6. Step 6: Final answer
    x = 55,915.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.