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Finding the Third Proportional to 4,995.75 and 7,506.25

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Solution

The third proportional to 4,995.75 and 7,506.25 is: 11,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995.75 : 7,506.25 = 7,506.25 : x
  2. Step 2: Convert to fraction form
    4,995.75/7,506.25 = 7,506.25/x
  3. Step 3: Cross multiply
    4,995.75x = 7,506.25 × 7,506.25
  4. Step 4: Simplify right side
    4,995.75x = 56,343,789.06
  5. Step 5: Solve for x
    x = 56,343,789.06/4,995.75
  6. Step 6: Final answer
    x = 11,278.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.