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Finding the Third Proportional to 4,735.13 and 5,433.75

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Solution

The third proportional to 4,735.13 and 5,433.75 is: 6,235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.13 : 5,433.75 = 5,433.75 : x
  2. Step 2: Convert to fraction form
    4,735.13/5,433.75 = 5,433.75/x
  3. Step 3: Cross multiply
    4,735.13x = 5,433.75 × 5,433.75
  4. Step 4: Simplify right side
    4,735.13x = 29,525,639.06
  5. Step 5: Solve for x
    x = 29,525,639.06/4,735.13
  6. Step 6: Final answer
    x = 6,235.45

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.