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Finding the Third Proportional to 36,304.24 and 52,288.24

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Solution

The third proportional to 36,304.24 and 52,288.24 is: 75,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,304.24 : 52,288.24 = 52,288.24 : x
  2. Step 2: Convert to fraction form
    36,304.24/52,288.24 = 52,288.24/x
  3. Step 3: Cross multiply
    36,304.24x = 52,288.24 × 52,288.24
  4. Step 4: Simplify right side
    36,304.24x = 2,734,060,271.06
  5. Step 5: Solve for x
    x = 2,734,060,271.06/36,304.24
  6. Step 6: Final answer
    x = 75,309.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.