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Finding the Third Proportional to 25,966 and 40,097

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Solution

The third proportional to 25,966 and 40,097 is: 61,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,966 : 40,097 = 40,097 : x
  2. Step 2: Convert to fraction form
    25,966/40,097 = 40,097/x
  3. Step 3: Cross multiply
    25,966x = 40,097 × 40,097
  4. Step 4: Simplify right side
    25,966x = 1,607,769,409
  5. Step 5: Solve for x
    x = 1,607,769,409/25,966
  6. Step 6: Final answer
    x = 61,918.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.