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Finding the Third Proportional to 16,955 and 25,556

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Solution

The third proportional to 16,955 and 25,556 is: 38,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,955 : 25,556 = 25,556 : x
  2. Step 2: Convert to fraction form
    16,955/25,556 = 25,556/x
  3. Step 3: Cross multiply
    16,955x = 25,556 × 25,556
  4. Step 4: Simplify right side
    16,955x = 653,109,136
  5. Step 5: Solve for x
    x = 653,109,136/16,955
  6. Step 6: Final answer
    x = 38,520.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.