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Finding the Third Proportional to 10,576 and 14,787

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Solution

The third proportional to 10,576 and 14,787 is: 20,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576 : 14,787 = 14,787 : x
  2. Step 2: Convert to fraction form
    10,576/14,787 = 14,787/x
  3. Step 3: Cross multiply
    10,576x = 14,787 × 14,787
  4. Step 4: Simplify right side
    10,576x = 218,655,369
  5. Step 5: Solve for x
    x = 218,655,369/10,576
  6. Step 6: Final answer
    x = 20,674.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.