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Finding the Third Proportional to 5,706 and 8,724

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Solution

The third proportional to 5,706 and 8,724 is: 13,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706 : 8,724 = 8,724 : x
  2. Step 2: Convert to fraction form
    5,706/8,724 = 8,724/x
  3. Step 3: Cross multiply
    5,706x = 8,724 × 8,724
  4. Step 4: Simplify right side
    5,706x = 76,108,176
  5. Step 5: Solve for x
    x = 76,108,176/5,706
  6. Step 6: Final answer
    x = 13,338.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.