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Finding the Third Proportional to 25,653 and 40,982

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Solution

The third proportional to 25,653 and 40,982 is: 65,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,653 : 40,982 = 40,982 : x
  2. Step 2: Convert to fraction form
    25,653/40,982 = 40,982/x
  3. Step 3: Cross multiply
    25,653x = 40,982 × 40,982
  4. Step 4: Simplify right side
    25,653x = 1,679,524,324
  5. Step 5: Solve for x
    x = 1,679,524,324/25,653
  6. Step 6: Final answer
    x = 65,470.87

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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.