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Finding the Third Proportional to 5,585.68 and 11,981.51

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Solution

The third proportional to 5,585.68 and 11,981.51 is: 25,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.68 : 11,981.51 = 11,981.51 : x
  2. Step 2: Convert to fraction form
    5,585.68/11,981.51 = 11,981.51/x
  3. Step 3: Cross multiply
    5,585.68x = 11,981.51 × 11,981.51
  4. Step 4: Simplify right side
    5,585.68x = 143,556,669.87
  5. Step 5: Solve for x
    x = 143,556,669.87/5,585.68
  6. Step 6: Final answer
    x = 25,700.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.