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Finding the Third Proportional to 5,234 and 9,640

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Solution

The third proportional to 5,234 and 9,640 is: 17,754.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234 : 9,640 = 9,640 : x
  2. Step 2: Convert to fraction form
    5,234/9,640 = 9,640/x
  3. Step 3: Cross multiply
    5,234x = 9,640 × 9,640
  4. Step 4: Simplify right side
    5,234x = 92,929,600
  5. Step 5: Solve for x
    x = 92,929,600/5,234
  6. Step 6: Final answer
    x = 17,754.99

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.