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Finding the Third Proportional to 15,744.38 and 23,768.44

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Solution

The third proportional to 15,744.38 and 23,768.44 is: 35,881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.38 : 23,768.44 = 23,768.44 : x
  2. Step 2: Convert to fraction form
    15,744.38/23,768.44 = 23,768.44/x
  3. Step 3: Cross multiply
    15,744.38x = 23,768.44 × 23,768.44
  4. Step 4: Simplify right side
    15,744.38x = 564,938,621.19
  5. Step 5: Solve for x
    x = 564,938,621.19/15,744.38
  6. Step 6: Final answer
    x = 35,881.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.