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Finding the Third Proportional to 40,826 and 62,454

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Solution

The third proportional to 40,826 and 62,454 is: 95,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,826 : 62,454 = 62,454 : x
  2. Step 2: Convert to fraction form
    40,826/62,454 = 62,454/x
  3. Step 3: Cross multiply
    40,826x = 62,454 × 62,454
  4. Step 4: Simplify right side
    40,826x = 3,900,502,116
  5. Step 5: Solve for x
    x = 3,900,502,116/40,826
  6. Step 6: Final answer
    x = 95,539.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.