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Finding the Third Proportional to 30,162 and 39,664

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Solution

The third proportional to 30,162 and 39,664 is: 52,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162 : 39,664 = 39,664 : x
  2. Step 2: Convert to fraction form
    30,162/39,664 = 39,664/x
  3. Step 3: Cross multiply
    30,162x = 39,664 × 39,664
  4. Step 4: Simplify right side
    30,162x = 1,573,232,896
  5. Step 5: Solve for x
    x = 1,573,232,896/30,162
  6. Step 6: Final answer
    x = 52,159.44

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.