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Finding the Third Proportional to 25,966 and 40,164

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Solution

The third proportional to 25,966 and 40,164 is: 62,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,966 : 40,164 = 40,164 : x
  2. Step 2: Convert to fraction form
    25,966/40,164 = 40,164/x
  3. Step 3: Cross multiply
    25,966x = 40,164 × 40,164
  4. Step 4: Simplify right side
    25,966x = 1,613,146,896
  5. Step 5: Solve for x
    x = 1,613,146,896/25,966
  6. Step 6: Final answer
    x = 62,125.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.