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Finding the Third Proportional to 2,426.67 and 5,250.05

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Solution

The third proportional to 2,426.67 and 5,250.05 is: 11,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.67 : 5,250.05 = 5,250.05 : x
  2. Step 2: Convert to fraction form
    2,426.67/5,250.05 = 5,250.05/x
  3. Step 3: Cross multiply
    2,426.67x = 5,250.05 × 5,250.05
  4. Step 4: Simplify right side
    2,426.67x = 27,562,992.19
  5. Step 5: Solve for x
    x = 27,562,992.19/2,426.67
  6. Step 6: Final answer
    x = 11,358.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.