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Finding the Third Proportional to 5,896 and 8,709

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Solution

The third proportional to 5,896 and 8,709 is: 12,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896 : 8,709 = 8,709 : x
  2. Step 2: Convert to fraction form
    5,896/8,709 = 8,709/x
  3. Step 3: Cross multiply
    5,896x = 8,709 × 8,709
  4. Step 4: Simplify right side
    5,896x = 75,846,681
  5. Step 5: Solve for x
    x = 75,846,681/5,896
  6. Step 6: Final answer
    x = 12,864.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.