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Finding the Third Proportional to 2,368.96 and 5,158.11

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Solution

The third proportional to 2,368.96 and 5,158.11 is: 11,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.96 : 5,158.11 = 5,158.11 : x
  2. Step 2: Convert to fraction form
    2,368.96/5,158.11 = 5,158.11/x
  3. Step 3: Cross multiply
    2,368.96x = 5,158.11 × 5,158.11
  4. Step 4: Simplify right side
    2,368.96x = 26,606,072.18
  5. Step 5: Solve for x
    x = 26,606,072.18/2,368.96
  6. Step 6: Final answer
    x = 11,231.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.