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Finding the Third Proportional to 9,456 and 15,175.50

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Solution

The third proportional to 9,456 and 15,175.50 is: 24,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456 : 15,175.50 = 15,175.50 : x
  2. Step 2: Convert to fraction form
    9,456/15,175.50 = 15,175.50/x
  3. Step 3: Cross multiply
    9,456x = 15,175.50 × 15,175.50
  4. Step 4: Simplify right side
    9,456x = 230,295,800.25
  5. Step 5: Solve for x
    x = 230,295,800.25/9,456
  6. Step 6: Final answer
    x = 24,354.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.