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Finding the Third Proportional to 10,812 and 24,120

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Solution

The third proportional to 10,812 and 24,120 is: 53,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812 : 24,120 = 24,120 : x
  2. Step 2: Convert to fraction form
    10,812/24,120 = 24,120/x
  3. Step 3: Cross multiply
    10,812x = 24,120 × 24,120
  4. Step 4: Simplify right side
    10,812x = 581,774,400
  5. Step 5: Solve for x
    x = 581,774,400/10,812
  6. Step 6: Final answer
    x = 53,808.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.