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Finding the Third Proportional to 11,652 and 25,476

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Solution

The third proportional to 11,652 and 25,476 is: 55,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652 : 25,476 = 25,476 : x
  2. Step 2: Convert to fraction form
    11,652/25,476 = 25,476/x
  3. Step 3: Cross multiply
    11,652x = 25,476 × 25,476
  4. Step 4: Simplify right side
    11,652x = 649,026,576
  5. Step 5: Solve for x
    x = 649,026,576/11,652
  6. Step 6: Final answer
    x = 55,700.87

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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.