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Finding the Third Proportional to 10,732 and 25,852

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Solution

The third proportional to 10,732 and 25,852 is: 62,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732 : 25,852 = 25,852 : x
  2. Step 2: Convert to fraction form
    10,732/25,852 = 25,852/x
  3. Step 3: Cross multiply
    10,732x = 25,852 × 25,852
  4. Step 4: Simplify right side
    10,732x = 668,325,904
  5. Step 5: Solve for x
    x = 668,325,904/10,732
  6. Step 6: Final answer
    x = 62,274.12

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.