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Finding the Third Proportional to 14,186.92 and 22,858.93

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Solution

The third proportional to 14,186.92 and 22,858.93 is: 36,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.92 : 22,858.93 = 22,858.93 : x
  2. Step 2: Convert to fraction form
    14,186.92/22,858.93 = 22,858.93/x
  3. Step 3: Cross multiply
    14,186.92x = 22,858.93 × 22,858.93
  4. Step 4: Simplify right side
    14,186.92x = 522,530,577.17
  5. Step 5: Solve for x
    x = 522,530,577.17/14,186.92
  6. Step 6: Final answer
    x = 36,831.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.