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Finding the Third Proportional to 4,931.72 and 6,936.84

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Solution

The third proportional to 4,931.72 and 6,936.84 is: 9,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.72 : 6,936.84 = 6,936.84 : x
  2. Step 2: Convert to fraction form
    4,931.72/6,936.84 = 6,936.84/x
  3. Step 3: Cross multiply
    4,931.72x = 6,936.84 × 6,936.84
  4. Step 4: Simplify right side
    4,931.72x = 48,119,801.21
  5. Step 5: Solve for x
    x = 48,119,801.21/4,931.72
  6. Step 6: Final answer
    x = 9,757.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.