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Finding the Third Proportional to 41,645 and 54,043

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Solution

The third proportional to 41,645 and 54,043 is: 70,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,645 : 54,043 = 54,043 : x
  2. Step 2: Convert to fraction form
    41,645/54,043 = 54,043/x
  3. Step 3: Cross multiply
    41,645x = 54,043 × 54,043
  4. Step 4: Simplify right side
    41,645x = 2,920,645,849
  5. Step 5: Solve for x
    x = 2,920,645,849/41,645
  6. Step 6: Final answer
    x = 70,131.97

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.