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Finding the Third Proportional to 18,784 and 39,664

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Solution

The third proportional to 18,784 and 39,664 is: 83,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,784 : 39,664 = 39,664 : x
  2. Step 2: Convert to fraction form
    18,784/39,664 = 39,664/x
  3. Step 3: Cross multiply
    18,784x = 39,664 × 39,664
  4. Step 4: Simplify right side
    18,784x = 1,573,232,896
  5. Step 5: Solve for x
    x = 1,573,232,896/18,784
  6. Step 6: Final answer
    x = 83,753.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.