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Finding the Third Proportional to 5,153 and 9,550

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Solution

The third proportional to 5,153 and 9,550 is: 17,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153 : 9,550 = 9,550 : x
  2. Step 2: Convert to fraction form
    5,153/9,550 = 9,550/x
  3. Step 3: Cross multiply
    5,153x = 9,550 × 9,550
  4. Step 4: Simplify right side
    5,153x = 91,202,500
  5. Step 5: Solve for x
    x = 91,202,500/5,153
  6. Step 6: Final answer
    x = 17,698.91

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.