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Finding the Third Proportional to 25,324 and 55,736

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Solution

The third proportional to 25,324 and 55,736 is: 122,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,324 : 55,736 = 55,736 : x
  2. Step 2: Convert to fraction form
    25,324/55,736 = 55,736/x
  3. Step 3: Cross multiply
    25,324x = 55,736 × 55,736
  4. Step 4: Simplify right side
    25,324x = 3,106,501,696
  5. Step 5: Solve for x
    x = 3,106,501,696/25,324
  6. Step 6: Final answer
    x = 122,670.26

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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.