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Finding the Third Proportional to 5,124.09 and 10,986.47

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Solution

The third proportional to 5,124.09 and 10,986.47 is: 23,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.09 : 10,986.47 = 10,986.47 : x
  2. Step 2: Convert to fraction form
    5,124.09/10,986.47 = 10,986.47/x
  3. Step 3: Cross multiply
    5,124.09x = 10,986.47 × 10,986.47
  4. Step 4: Simplify right side
    5,124.09x = 120,702,495.59
  5. Step 5: Solve for x
    x = 120,702,495.59/5,124.09
  6. Step 6: Final answer
    x = 23,555.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.