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Finding the Third Proportional to 20,416.13 and 30,624.38

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Solution

The third proportional to 20,416.13 and 30,624.38 is: 45,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416.13 : 30,624.38 = 30,624.38 : x
  2. Step 2: Convert to fraction form
    20,416.13/30,624.38 = 30,624.38/x
  3. Step 3: Cross multiply
    20,416.13x = 30,624.38 × 30,624.38
  4. Step 4: Simplify right side
    20,416.13x = 937,852,344.14
  5. Step 5: Solve for x
    x = 937,852,344.14/20,416.13
  6. Step 6: Final answer
    x = 45,936.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.