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Finding the Third Proportional to 9,647.86 and 20,924.58

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Solution

The third proportional to 9,647.86 and 20,924.58 is: 45,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.86 : 20,924.58 = 20,924.58 : x
  2. Step 2: Convert to fraction form
    9,647.86/20,924.58 = 20,924.58/x
  3. Step 3: Cross multiply
    9,647.86x = 20,924.58 × 20,924.58
  4. Step 4: Simplify right side
    9,647.86x = 437,837,969.71
  5. Step 5: Solve for x
    x = 437,837,969.71/9,647.86
  6. Step 6: Final answer
    x = 45,381.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.