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Finding the Third Proportional to 5,114.44 and 11,204.81

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Solution

The third proportional to 5,114.44 and 11,204.81 is: 24,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.44 : 11,204.81 = 11,204.81 : x
  2. Step 2: Convert to fraction form
    5,114.44/11,204.81 = 11,204.81/x
  3. Step 3: Cross multiply
    5,114.44x = 11,204.81 × 11,204.81
  4. Step 4: Simplify right side
    5,114.44x = 125,547,823.16
  5. Step 5: Solve for x
    x = 125,547,823.16/5,114.44
  6. Step 6: Final answer
    x = 24,547.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.