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Finding the Third Proportional to 5,752.27 and 12,085.45

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Solution

The third proportional to 5,752.27 and 12,085.45 is: 25,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.27 : 12,085.45 = 12,085.45 : x
  2. Step 2: Convert to fraction form
    5,752.27/12,085.45 = 12,085.45/x
  3. Step 3: Cross multiply
    5,752.27x = 12,085.45 × 12,085.45
  4. Step 4: Simplify right side
    5,752.27x = 146,058,177.24
  5. Step 5: Solve for x
    x = 146,058,177.24/5,752.27
  6. Step 6: Final answer
    x = 25,391.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.