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Finding the Third Proportional to 3,546 and 5,216.25

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Solution

The third proportional to 3,546 and 5,216.25 is: 7,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546 : 5,216.25 = 5,216.25 : x
  2. Step 2: Convert to fraction form
    3,546/5,216.25 = 5,216.25/x
  3. Step 3: Cross multiply
    3,546x = 5,216.25 × 5,216.25
  4. Step 4: Simplify right side
    3,546x = 27,209,264.06
  5. Step 5: Solve for x
    x = 27,209,264.06/3,546
  6. Step 6: Final answer
    x = 7,673.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.