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Finding the Third Proportional to 6,395 and 9,553

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Solution

The third proportional to 6,395 and 9,553 is: 14,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395 : 9,553 = 9,553 : x
  2. Step 2: Convert to fraction form
    6,395/9,553 = 9,553/x
  3. Step 3: Cross multiply
    6,395x = 9,553 × 9,553
  4. Step 4: Simplify right side
    6,395x = 91,259,809
  5. Step 5: Solve for x
    x = 91,259,809/6,395
  6. Step 6: Final answer
    x = 14,270.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.