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Finding the Third Proportional to 5,086 and 9,533

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Solution

The third proportional to 5,086 and 9,533 is: 17,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086 : 9,533 = 9,533 : x
  2. Step 2: Convert to fraction form
    5,086/9,533 = 9,533/x
  3. Step 3: Cross multiply
    5,086x = 9,533 × 9,533
  4. Step 4: Simplify right side
    5,086x = 90,878,089
  5. Step 5: Solve for x
    x = 90,878,089/5,086
  6. Step 6: Final answer
    x = 17,868.28

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.