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Finding the Third Proportional to 8,646.75 and 20,953.69

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Solution

The third proportional to 8,646.75 and 20,953.69 is: 50,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.75 : 20,953.69 = 20,953.69 : x
  2. Step 2: Convert to fraction form
    8,646.75/20,953.69 = 20,953.69/x
  3. Step 3: Cross multiply
    8,646.75x = 20,953.69 × 20,953.69
  4. Step 4: Simplify right side
    8,646.75x = 439,057,019.85
  5. Step 5: Solve for x
    x = 439,057,019.85/8,646.75
  6. Step 6: Final answer
    x = 50,777.12

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.