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Finding the Third Proportional to 23,926 and 52,412

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Solution

The third proportional to 23,926 and 52,412 is: 114,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,926 : 52,412 = 52,412 : x
  2. Step 2: Convert to fraction form
    23,926/52,412 = 52,412/x
  3. Step 3: Cross multiply
    23,926x = 52,412 × 52,412
  4. Step 4: Simplify right side
    23,926x = 2,747,017,744
  5. Step 5: Solve for x
    x = 2,747,017,744/23,926
  6. Step 6: Final answer
    x = 114,813.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.