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Finding the Third Proportional to 41,475 and 85,407

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Solution

The third proportional to 41,475 and 85,407 is: 175,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,475 : 85,407 = 85,407 : x
  2. Step 2: Convert to fraction form
    41,475/85,407 = 85,407/x
  3. Step 3: Cross multiply
    41,475x = 85,407 × 85,407
  4. Step 4: Simplify right side
    41,475x = 7,294,355,649
  5. Step 5: Solve for x
    x = 7,294,355,649/41,475
  6. Step 6: Final answer
    x = 175,873.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.