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Finding the Third Proportional to 15,182.44 and 23,763.38

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Solution

The third proportional to 15,182.44 and 23,763.38 is: 37,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182.44 : 23,763.38 = 23,763.38 : x
  2. Step 2: Convert to fraction form
    15,182.44/23,763.38 = 23,763.38/x
  3. Step 3: Cross multiply
    15,182.44x = 23,763.38 × 23,763.38
  4. Step 4: Simplify right side
    15,182.44x = 564,697,991.39
  5. Step 5: Solve for x
    x = 564,697,991.39/15,182.44
  6. Step 6: Final answer
    x = 37,194.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.