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Finding the Third Proportional to 8,931.94 and 20,768.06

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Solution

The third proportional to 8,931.94 and 20,768.06 is: 48,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.94 : 20,768.06 = 20,768.06 : x
  2. Step 2: Convert to fraction form
    8,931.94/20,768.06 = 20,768.06/x
  3. Step 3: Cross multiply
    8,931.94x = 20,768.06 × 20,768.06
  4. Step 4: Simplify right side
    8,931.94x = 431,312,420.00
  5. Step 5: Solve for x
    x = 431,312,420.00/8,931.94
  6. Step 6: Final answer
    x = 48,288.79

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.