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Finding the Third Proportional to 2,134.13 and 4,916.81

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Solution

The third proportional to 2,134.13 and 4,916.81 is: 11,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.13 : 4,916.81 = 4,916.81 : x
  2. Step 2: Convert to fraction form
    2,134.13/4,916.81 = 4,916.81/x
  3. Step 3: Cross multiply
    2,134.13x = 4,916.81 × 4,916.81
  4. Step 4: Simplify right side
    2,134.13x = 24,175,045.16
  5. Step 5: Solve for x
    x = 24,175,045.16/2,134.13
  6. Step 6: Final answer
    x = 11,327.85

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.