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Finding the Third Proportional to 11,210 and 24,152

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Solution

The third proportional to 11,210 and 24,152 is: 52,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210 : 24,152 = 24,152 : x
  2. Step 2: Convert to fraction form
    11,210/24,152 = 24,152/x
  3. Step 3: Cross multiply
    11,210x = 24,152 × 24,152
  4. Step 4: Simplify right side
    11,210x = 583,319,104
  5. Step 5: Solve for x
    x = 583,319,104/11,210
  6. Step 6: Final answer
    x = 52,035.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.