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Finding the Third Proportional to 11,310 and 23,412

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Solution

The third proportional to 11,310 and 23,412 is: 48,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310 : 23,412 = 23,412 : x
  2. Step 2: Convert to fraction form
    11,310/23,412 = 23,412/x
  3. Step 3: Cross multiply
    11,310x = 23,412 × 23,412
  4. Step 4: Simplify right side
    11,310x = 548,121,744
  5. Step 5: Solve for x
    x = 548,121,744/11,310
  6. Step 6: Final answer
    x = 48,463.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.