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Finding the Third Proportional to 3,503.25 and 5,237.16

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Solution

The third proportional to 3,503.25 and 5,237.16 is: 7,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.25 : 5,237.16 = 5,237.16 : x
  2. Step 2: Convert to fraction form
    3,503.25/5,237.16 = 5,237.16/x
  3. Step 3: Cross multiply
    3,503.25x = 5,237.16 × 5,237.16
  4. Step 4: Simplify right side
    3,503.25x = 27,427,805.59
  5. Step 5: Solve for x
    x = 27,427,805.59/3,503.25
  6. Step 6: Final answer
    x = 7,829.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.