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Finding the Third Proportional to 6,458.16 and 14,186.86

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Solution

The third proportional to 6,458.16 and 14,186.86 is: 31,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.16 : 14,186.86 = 14,186.86 : x
  2. Step 2: Convert to fraction form
    6,458.16/14,186.86 = 14,186.86/x
  3. Step 3: Cross multiply
    6,458.16x = 14,186.86 × 14,186.86
  4. Step 4: Simplify right side
    6,458.16x = 201,266,978.93
  5. Step 5: Solve for x
    x = 201,266,978.93/6,458.16
  6. Step 6: Final answer
    x = 31,164.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.