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Finding the Third Proportional to 25,966 and 38,905

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Solution

The third proportional to 25,966 and 38,905 is: 58,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,966 : 38,905 = 38,905 : x
  2. Step 2: Convert to fraction form
    25,966/38,905 = 38,905/x
  3. Step 3: Cross multiply
    25,966x = 38,905 × 38,905
  4. Step 4: Simplify right side
    25,966x = 1,513,599,025
  5. Step 5: Solve for x
    x = 1,513,599,025/25,966
  6. Step 6: Final answer
    x = 58,291.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.