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Finding the Third Proportional to 3,349.50 and 5,102.25

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Solution

The third proportional to 3,349.50 and 5,102.25 is: 7,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.50 : 5,102.25 = 5,102.25 : x
  2. Step 2: Convert to fraction form
    3,349.50/5,102.25 = 5,102.25/x
  3. Step 3: Cross multiply
    3,349.50x = 5,102.25 × 5,102.25
  4. Step 4: Simplify right side
    3,349.50x = 26,032,955.06
  5. Step 5: Solve for x
    x = 26,032,955.06/3,349.50
  6. Step 6: Final answer
    x = 7,772.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.