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Finding the Third Proportional to 10,164 and 11,476

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Solution

The third proportional to 10,164 and 11,476 is: 12,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164 : 11,476 = 11,476 : x
  2. Step 2: Convert to fraction form
    10,164/11,476 = 11,476/x
  3. Step 3: Cross multiply
    10,164x = 11,476 × 11,476
  4. Step 4: Simplify right side
    10,164x = 131,698,576
  5. Step 5: Solve for x
    x = 131,698,576/10,164
  6. Step 6: Final answer
    x = 12,957.36

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.