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Finding the Third Proportional to 5,886.11 and 10,465.14

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Solution

The third proportional to 5,886.11 and 10,465.14 is: 18,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.11 : 10,465.14 = 10,465.14 : x
  2. Step 2: Convert to fraction form
    5,886.11/10,465.14 = 10,465.14/x
  3. Step 3: Cross multiply
    5,886.11x = 10,465.14 × 10,465.14
  4. Step 4: Simplify right side
    5,886.11x = 109,519,086.54
  5. Step 5: Solve for x
    x = 109,519,086.54/5,886.11
  6. Step 6: Final answer
    x = 18,606.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.