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Finding the Third Proportional to 40,106 and 45,938

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Solution

The third proportional to 40,106 and 45,938 is: 52,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,106 : 45,938 = 45,938 : x
  2. Step 2: Convert to fraction form
    40,106/45,938 = 45,938/x
  3. Step 3: Cross multiply
    40,106x = 45,938 × 45,938
  4. Step 4: Simplify right side
    40,106x = 2,110,299,844
  5. Step 5: Solve for x
    x = 2,110,299,844/40,106
  6. Step 6: Final answer
    x = 52,618.06

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.