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Finding the Third Proportional to 6,576 and 10,411

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Solution

The third proportional to 6,576 and 10,411 is: 16,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576 : 10,411 = 10,411 : x
  2. Step 2: Convert to fraction form
    6,576/10,411 = 10,411/x
  3. Step 3: Cross multiply
    6,576x = 10,411 × 10,411
  4. Step 4: Simplify right side
    6,576x = 108,388,921
  5. Step 5: Solve for x
    x = 108,388,921/6,576
  6. Step 6: Final answer
    x = 16,482.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.