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Finding the Third Proportional to 14,685 and 25,923

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Solution

The third proportional to 14,685 and 25,923 is: 45,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685 : 25,923 = 25,923 : x
  2. Step 2: Convert to fraction form
    14,685/25,923 = 25,923/x
  3. Step 3: Cross multiply
    14,685x = 25,923 × 25,923
  4. Step 4: Simplify right side
    14,685x = 672,001,929
  5. Step 5: Solve for x
    x = 672,001,929/14,685
  6. Step 6: Final answer
    x = 45,761.11

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.