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Finding the Third Proportional to 23,996 and 37,570

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Solution

The third proportional to 23,996 and 37,570 is: 58,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,996 : 37,570 = 37,570 : x
  2. Step 2: Convert to fraction form
    23,996/37,570 = 37,570/x
  3. Step 3: Cross multiply
    23,996x = 37,570 × 37,570
  4. Step 4: Simplify right side
    23,996x = 1,411,504,900
  5. Step 5: Solve for x
    x = 1,411,504,900/23,996
  6. Step 6: Final answer
    x = 58,822.51

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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.