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Finding the Third Proportional to 5,175.56 and 9,698.06

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Solution

The third proportional to 5,175.56 and 9,698.06 is: 18,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.56 : 9,698.06 = 9,698.06 : x
  2. Step 2: Convert to fraction form
    5,175.56/9,698.06 = 9,698.06/x
  3. Step 3: Cross multiply
    5,175.56x = 9,698.06 × 9,698.06
  4. Step 4: Simplify right side
    5,175.56x = 94,052,416.25
  5. Step 5: Solve for x
    x = 94,052,416.25/5,175.56
  6. Step 6: Final answer
    x = 18,172.40

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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.