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Finding the Third Proportional to 29,938 and 40,984

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Solution

The third proportional to 29,938 and 40,984 is: 56,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938 : 40,984 = 40,984 : x
  2. Step 2: Convert to fraction form
    29,938/40,984 = 40,984/x
  3. Step 3: Cross multiply
    29,938x = 40,984 × 40,984
  4. Step 4: Simplify right side
    29,938x = 1,679,688,256
  5. Step 5: Solve for x
    x = 1,679,688,256/29,938
  6. Step 6: Final answer
    x = 56,105.56

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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.