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Finding the Third Proportional to 11,410 and 25,058

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Solution

The third proportional to 11,410 and 25,058 is: 55,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410 : 25,058 = 25,058 : x
  2. Step 2: Convert to fraction form
    11,410/25,058 = 25,058/x
  3. Step 3: Cross multiply
    11,410x = 25,058 × 25,058
  4. Step 4: Simplify right side
    11,410x = 627,903,364
  5. Step 5: Solve for x
    x = 627,903,364/11,410
  6. Step 6: Final answer
    x = 55,030.97

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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.