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Finding the Third Proportional to 15,975 and 23,972.63

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Solution

The third proportional to 15,975 and 23,972.63 is: 35,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975 : 23,972.63 = 23,972.63 : x
  2. Step 2: Convert to fraction form
    15,975/23,972.63 = 23,972.63/x
  3. Step 3: Cross multiply
    15,975x = 23,972.63 × 23,972.63
  4. Step 4: Simplify right side
    15,975x = 574,686,749.39
  5. Step 5: Solve for x
    x = 574,686,749.39/15,975
  6. Step 6: Final answer
    x = 35,974.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.