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Finding the Third Proportional to 25,906 and 53,653

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Solution

The third proportional to 25,906 and 53,653 is: 111,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,906 : 53,653 = 53,653 : x
  2. Step 2: Convert to fraction form
    25,906/53,653 = 53,653/x
  3. Step 3: Cross multiply
    25,906x = 53,653 × 53,653
  4. Step 4: Simplify right side
    25,906x = 2,878,644,409
  5. Step 5: Solve for x
    x = 2,878,644,409/25,906
  6. Step 6: Final answer
    x = 111,118.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.