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Finding the Third Proportional to 24,228 and 35,556

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Solution

The third proportional to 24,228 and 35,556 is: 52,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228 : 35,556 = 35,556 : x
  2. Step 2: Convert to fraction form
    24,228/35,556 = 35,556/x
  3. Step 3: Cross multiply
    24,228x = 35,556 × 35,556
  4. Step 4: Simplify right side
    24,228x = 1,264,229,136
  5. Step 5: Solve for x
    x = 1,264,229,136/24,228
  6. Step 6: Final answer
    x = 52,180.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.