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Finding the Third Proportional to 19,775 and 29,663

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Solution

The third proportional to 19,775 and 29,663 is: 44,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775 : 29,663 = 29,663 : x
  2. Step 2: Convert to fraction form
    19,775/29,663 = 29,663/x
  3. Step 3: Cross multiply
    19,775x = 29,663 × 29,663
  4. Step 4: Simplify right side
    19,775x = 879,893,569
  5. Step 5: Solve for x
    x = 879,893,569/19,775
  6. Step 6: Final answer
    x = 44,495.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.