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Finding the Third Proportional to 6,260 and 11,476

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Solution

The third proportional to 6,260 and 11,476 is: 21,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,260 : 11,476 = 11,476 : x
  2. Step 2: Convert to fraction form
    6,260/11,476 = 11,476/x
  3. Step 3: Cross multiply
    6,260x = 11,476 × 11,476
  4. Step 4: Simplify right side
    6,260x = 131,698,576
  5. Step 5: Solve for x
    x = 131,698,576/6,260
  6. Step 6: Final answer
    x = 21,038.11

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.