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Finding the Third Proportional to 5,850 and 10,954.13

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Solution

The third proportional to 5,850 and 10,954.13 is: 20,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850 : 10,954.13 = 10,954.13 : x
  2. Step 2: Convert to fraction form
    5,850/10,954.13 = 10,954.13/x
  3. Step 3: Cross multiply
    5,850x = 10,954.13 × 10,954.13
  4. Step 4: Simplify right side
    5,850x = 119,992,854.52
  5. Step 5: Solve for x
    x = 119,992,854.52/5,850
  6. Step 6: Final answer
    x = 20,511.60

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.