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Finding the Third Proportional to 4,010.63 and 5,433.19

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Solution

The third proportional to 4,010.63 and 5,433.19 is: 7,360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010.63 : 5,433.19 = 5,433.19 : x
  2. Step 2: Convert to fraction form
    4,010.63/5,433.19 = 5,433.19/x
  3. Step 3: Cross multiply
    4,010.63x = 5,433.19 × 5,433.19
  4. Step 4: Simplify right side
    4,010.63x = 29,519,526.41
  5. Step 5: Solve for x
    x = 29,519,526.41/4,010.63
  6. Step 6: Final answer
    x = 7,360.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.