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Finding the Third Proportional to 19,827 and 28,498

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Solution

The third proportional to 19,827 and 28,498 is: 40,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827 : 28,498 = 28,498 : x
  2. Step 2: Convert to fraction form
    19,827/28,498 = 28,498/x
  3. Step 3: Cross multiply
    19,827x = 28,498 × 28,498
  4. Step 4: Simplify right side
    19,827x = 812,136,004
  5. Step 5: Solve for x
    x = 812,136,004/19,827
  6. Step 6: Final answer
    x = 40,961.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.