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Finding the Third Proportional to 4,926.75 and 7,441.13

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Solution

The third proportional to 4,926.75 and 7,441.13 is: 11,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.75 : 7,441.13 = 7,441.13 : x
  2. Step 2: Convert to fraction form
    4,926.75/7,441.13 = 7,441.13/x
  3. Step 3: Cross multiply
    4,926.75x = 7,441.13 × 7,441.13
  4. Step 4: Simplify right side
    4,926.75x = 55,370,341.27
  5. Step 5: Solve for x
    x = 55,370,341.27/4,926.75
  6. Step 6: Final answer
    x = 11,238.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.