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Finding the Third Proportional to 3,403.90 and 5,101.10

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Solution

The third proportional to 3,403.90 and 5,101.10 is: 7,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.90 : 5,101.10 = 5,101.10 : x
  2. Step 2: Convert to fraction form
    3,403.90/5,101.10 = 5,101.10/x
  3. Step 3: Cross multiply
    3,403.90x = 5,101.10 × 5,101.10
  4. Step 4: Simplify right side
    3,403.90x = 26,021,237.15
  5. Step 5: Solve for x
    x = 26,021,237.15/3,403.90
  6. Step 6: Final answer
    x = 7,644.54

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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.