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Finding the Third Proportional to 11,385 and 24,713

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Solution

The third proportional to 11,385 and 24,713 is: 53,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385 : 24,713 = 24,713 : x
  2. Step 2: Convert to fraction form
    11,385/24,713 = 24,713/x
  3. Step 3: Cross multiply
    11,385x = 24,713 × 24,713
  4. Step 4: Simplify right side
    11,385x = 610,732,369
  5. Step 5: Solve for x
    x = 610,732,369/11,385
  6. Step 6: Final answer
    x = 53,643.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.