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Finding the Third Proportional to 11,152 and 24,140

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Solution

The third proportional to 11,152 and 24,140 is: 52,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152 : 24,140 = 24,140 : x
  2. Step 2: Convert to fraction form
    11,152/24,140 = 24,140/x
  3. Step 3: Cross multiply
    11,152x = 24,140 × 24,140
  4. Step 4: Simplify right side
    11,152x = 582,739,600
  5. Step 5: Solve for x
    x = 582,739,600/11,152
  6. Step 6: Final answer
    x = 52,254.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.