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Finding the Third Proportional to 5,929 and 8,342

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Solution

The third proportional to 5,929 and 8,342 is: 11,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929 : 8,342 = 8,342 : x
  2. Step 2: Convert to fraction form
    5,929/8,342 = 8,342/x
  3. Step 3: Cross multiply
    5,929x = 8,342 × 8,342
  4. Step 4: Simplify right side
    5,929x = 69,588,964
  5. Step 5: Solve for x
    x = 69,588,964/5,929
  6. Step 6: Final answer
    x = 11,737.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.