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Finding the Third Proportional to 25,900 and 57,044

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Solution

The third proportional to 25,900 and 57,044 is: 125,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900 : 57,044 = 57,044 : x
  2. Step 2: Convert to fraction form
    25,900/57,044 = 57,044/x
  3. Step 3: Cross multiply
    25,900x = 57,044 × 57,044
  4. Step 4: Simplify right side
    25,900x = 3,254,017,936
  5. Step 5: Solve for x
    x = 3,254,017,936/25,900
  6. Step 6: Final answer
    x = 125,637.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.