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Finding the Third Proportional to 2,402.16 and 5,206.78

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Solution

The third proportional to 2,402.16 and 5,206.78 is: 11,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.16 : 5,206.78 = 5,206.78 : x
  2. Step 2: Convert to fraction form
    2,402.16/5,206.78 = 5,206.78/x
  3. Step 3: Cross multiply
    2,402.16x = 5,206.78 × 5,206.78
  4. Step 4: Simplify right side
    2,402.16x = 27,110,570.99
  5. Step 5: Solve for x
    x = 27,110,570.99/2,402.16
  6. Step 6: Final answer
    x = 11,285.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.