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Finding the Third Proportional to 25,748.51 and 53,137.27

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Solution

The third proportional to 25,748.51 and 53,137.27 is: 109,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,748.51 : 53,137.27 = 53,137.27 : x
  2. Step 2: Convert to fraction form
    25,748.51/53,137.27 = 53,137.27/x
  3. Step 3: Cross multiply
    25,748.51x = 53,137.27 × 53,137.27
  4. Step 4: Simplify right side
    25,748.51x = 2,823,568,998.10
  5. Step 5: Solve for x
    x = 2,823,568,998.10/25,748.51
  6. Step 6: Final answer
    x = 109,659.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.