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Finding the Third Proportional to 23,692 and 39,484

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Solution

The third proportional to 23,692 and 39,484 is: 65,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692 : 39,484 = 39,484 : x
  2. Step 2: Convert to fraction form
    23,692/39,484 = 39,484/x
  3. Step 3: Cross multiply
    23,692x = 39,484 × 39,484
  4. Step 4: Simplify right side
    23,692x = 1,558,986,256
  5. Step 5: Solve for x
    x = 1,558,986,256/23,692
  6. Step 6: Final answer
    x = 65,802.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.