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Finding the Third Proportional to 11,200 and 24,596

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Solution

The third proportional to 11,200 and 24,596 is: 54,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200 : 24,596 = 24,596 : x
  2. Step 2: Convert to fraction form
    11,200/24,596 = 24,596/x
  3. Step 3: Cross multiply
    11,200x = 24,596 × 24,596
  4. Step 4: Simplify right side
    11,200x = 604,963,216
  5. Step 5: Solve for x
    x = 604,963,216/11,200
  6. Step 6: Final answer
    x = 54,014.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.