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Finding the Third Proportional to 25,773 and 55,758

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Solution

The third proportional to 25,773 and 55,758 is: 120,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773 : 55,758 = 55,758 : x
  2. Step 2: Convert to fraction form
    25,773/55,758 = 55,758/x
  3. Step 3: Cross multiply
    25,773x = 55,758 × 55,758
  4. Step 4: Simplify right side
    25,773x = 3,108,954,564
  5. Step 5: Solve for x
    x = 3,108,954,564/25,773
  6. Step 6: Final answer
    x = 120,628.35

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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.