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Finding the Third Proportional to 15,400 and 24,556

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Solution

The third proportional to 15,400 and 24,556 is: 39,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400 : 24,556 = 24,556 : x
  2. Step 2: Convert to fraction form
    15,400/24,556 = 24,556/x
  3. Step 3: Cross multiply
    15,400x = 24,556 × 24,556
  4. Step 4: Simplify right side
    15,400x = 602,997,136
  5. Step 5: Solve for x
    x = 602,997,136/15,400
  6. Step 6: Final answer
    x = 39,155.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.