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Finding the Third Proportional to 7,860 and 9,476

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Solution

The third proportional to 7,860 and 9,476 is: 11,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860 : 9,476 = 9,476 : x
  2. Step 2: Convert to fraction form
    7,860/9,476 = 9,476/x
  3. Step 3: Cross multiply
    7,860x = 9,476 × 9,476
  4. Step 4: Simplify right side
    7,860x = 89,794,576
  5. Step 5: Solve for x
    x = 89,794,576/7,860
  6. Step 6: Final answer
    x = 11,424.25

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.