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Finding the Third Proportional to 3,152.75 and 7,466.25

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Solution

The third proportional to 3,152.75 and 7,466.25 is: 17,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.75 : 7,466.25 = 7,466.25 : x
  2. Step 2: Convert to fraction form
    3,152.75/7,466.25 = 7,466.25/x
  3. Step 3: Cross multiply
    3,152.75x = 7,466.25 × 7,466.25
  4. Step 4: Simplify right side
    3,152.75x = 55,744,889.06
  5. Step 5: Solve for x
    x = 55,744,889.06/3,152.75
  6. Step 6: Final answer
    x = 17,681.35

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.