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Finding the Third Proportional to 5,806.69 and 11,151.84

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Solution

The third proportional to 5,806.69 and 11,151.84 is: 21,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.69 : 11,151.84 = 11,151.84 : x
  2. Step 2: Convert to fraction form
    5,806.69/11,151.84 = 11,151.84/x
  3. Step 3: Cross multiply
    5,806.69x = 11,151.84 × 11,151.84
  4. Step 4: Simplify right side
    5,806.69x = 124,363,619.02
  5. Step 5: Solve for x
    x = 124,363,619.02/5,806.69
  6. Step 6: Final answer
    x = 21,417.31

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.