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Finding the Third Proportional to 25,790 and 55,789

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Solution

The third proportional to 25,790 and 55,789 is: 120,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,790 : 55,789 = 55,789 : x
  2. Step 2: Convert to fraction form
    25,790/55,789 = 55,789/x
  3. Step 3: Cross multiply
    25,790x = 55,789 × 55,789
  4. Step 4: Simplify right side
    25,790x = 3,112,412,521
  5. Step 5: Solve for x
    x = 3,112,412,521/25,790
  6. Step 6: Final answer
    x = 120,682.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.