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Finding the Third Proportional to 20,539.13 and 30,322.13

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Solution

The third proportional to 20,539.13 and 30,322.13 is: 44,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539.13 : 30,322.13 = 30,322.13 : x
  2. Step 2: Convert to fraction form
    20,539.13/30,322.13 = 30,322.13/x
  3. Step 3: Cross multiply
    20,539.13x = 30,322.13 × 30,322.13
  4. Step 4: Simplify right side
    20,539.13x = 919,431,264.52
  5. Step 5: Solve for x
    x = 919,431,264.52/20,539.13
  6. Step 6: Final answer
    x = 44,764.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.