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Finding the Third Proportional to 25,849 and 41,473

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Solution

The third proportional to 25,849 and 41,473 is: 66,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,849 : 41,473 = 41,473 : x
  2. Step 2: Convert to fraction form
    25,849/41,473 = 41,473/x
  3. Step 3: Cross multiply
    25,849x = 41,473 × 41,473
  4. Step 4: Simplify right side
    25,849x = 1,720,009,729
  5. Step 5: Solve for x
    x = 1,720,009,729/25,849
  6. Step 6: Final answer
    x = 66,540.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.