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Finding the Third Proportional to 9,756.07 and 20,355.05

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Solution

The third proportional to 9,756.07 and 20,355.05 is: 42,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.07 : 20,355.05 = 20,355.05 : x
  2. Step 2: Convert to fraction form
    9,756.07/20,355.05 = 20,355.05/x
  3. Step 3: Cross multiply
    9,756.07x = 20,355.05 × 20,355.05
  4. Step 4: Simplify right side
    9,756.07x = 414,327,933.28
  5. Step 5: Solve for x
    x = 414,327,933.28/9,756.07
  6. Step 6: Final answer
    x = 42,468.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.