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Finding the Third Proportional to 10,684 and 24,952

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Solution

The third proportional to 10,684 and 24,952 is: 58,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684 : 24,952 = 24,952 : x
  2. Step 2: Convert to fraction form
    10,684/24,952 = 24,952/x
  3. Step 3: Cross multiply
    10,684x = 24,952 × 24,952
  4. Step 4: Simplify right side
    10,684x = 622,602,304
  5. Step 5: Solve for x
    x = 622,602,304/10,684
  6. Step 6: Final answer
    x = 58,274.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.