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Finding the Third Proportional to 3,485.53 and 4,570.17

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Solution

The third proportional to 3,485.53 and 4,570.17 is: 5,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.53 : 4,570.17 = 4,570.17 : x
  2. Step 2: Convert to fraction form
    3,485.53/4,570.17 = 4,570.17/x
  3. Step 3: Cross multiply
    3,485.53x = 4,570.17 × 4,570.17
  4. Step 4: Simplify right side
    3,485.53x = 20,886,470.97
  5. Step 5: Solve for x
    x = 20,886,470.97/3,485.53
  6. Step 6: Final answer
    x = 5,992.34

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.