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Finding the Third Proportional to 11,624 and 23,935

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Solution

The third proportional to 11,624 and 23,935 is: 49,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624 : 23,935 = 23,935 : x
  2. Step 2: Convert to fraction form
    11,624/23,935 = 23,935/x
  3. Step 3: Cross multiply
    11,624x = 23,935 × 23,935
  4. Step 4: Simplify right side
    11,624x = 572,884,225
  5. Step 5: Solve for x
    x = 572,884,225/11,624
  6. Step 6: Final answer
    x = 49,284.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.