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Finding the Third Proportional to 19,258 and 25,965

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Solution

The third proportional to 19,258 and 25,965 is: 35,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,258 : 25,965 = 25,965 : x
  2. Step 2: Convert to fraction form
    19,258/25,965 = 25,965/x
  3. Step 3: Cross multiply
    19,258x = 25,965 × 25,965
  4. Step 4: Simplify right side
    19,258x = 674,181,225
  5. Step 5: Solve for x
    x = 674,181,225/19,258
  6. Step 6: Final answer
    x = 35,007.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.