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Finding the Third Proportional to 4,641.13 and 7,181.56

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Solution

The third proportional to 4,641.13 and 7,181.56 is: 11,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.13 : 7,181.56 = 7,181.56 : x
  2. Step 2: Convert to fraction form
    4,641.13/7,181.56 = 7,181.56/x
  3. Step 3: Cross multiply
    4,641.13x = 7,181.56 × 7,181.56
  4. Step 4: Simplify right side
    4,641.13x = 51,574,839.94
  5. Step 5: Solve for x
    x = 51,574,839.94/4,641.13
  6. Step 6: Final answer
    x = 11,112.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.