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Finding the Third Proportional to 19,664 and 28,569

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Solution

The third proportional to 19,664 and 28,569 is: 41,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664 : 28,569 = 28,569 : x
  2. Step 2: Convert to fraction form
    19,664/28,569 = 28,569/x
  3. Step 3: Cross multiply
    19,664x = 28,569 × 28,569
  4. Step 4: Simplify right side
    19,664x = 816,187,761
  5. Step 5: Solve for x
    x = 816,187,761/19,664
  6. Step 6: Final answer
    x = 41,506.70

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.