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Finding the Third Proportional to 23,684 and 39,472

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Solution

The third proportional to 23,684 and 39,472 is: 65,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684 : 39,472 = 39,472 : x
  2. Step 2: Convert to fraction form
    23,684/39,472 = 39,472/x
  3. Step 3: Cross multiply
    23,684x = 39,472 × 39,472
  4. Step 4: Simplify right side
    23,684x = 1,558,038,784
  5. Step 5: Solve for x
    x = 1,558,038,784/23,684
  6. Step 6: Final answer
    x = 65,784.44

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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.