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Finding the Third Proportional to 4,742.72 and 11,190.45

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Solution

The third proportional to 4,742.72 and 11,190.45 is: 26,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.72 : 11,190.45 = 11,190.45 : x
  2. Step 2: Convert to fraction form
    4,742.72/11,190.45 = 11,190.45/x
  3. Step 3: Cross multiply
    4,742.72x = 11,190.45 × 11,190.45
  4. Step 4: Simplify right side
    4,742.72x = 125,226,066.29
  5. Step 5: Solve for x
    x = 125,226,066.29/4,742.72
  6. Step 6: Final answer
    x = 26,403.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.