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Finding the Third Proportional to 5,825 and 9,453

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Solution

The third proportional to 5,825 and 9,453 is: 15,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825 : 9,453 = 9,453 : x
  2. Step 2: Convert to fraction form
    5,825/9,453 = 9,453/x
  3. Step 3: Cross multiply
    5,825x = 9,453 × 9,453
  4. Step 4: Simplify right side
    5,825x = 89,359,209
  5. Step 5: Solve for x
    x = 89,359,209/5,825
  6. Step 6: Final answer
    x = 15,340.64

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.