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Finding the Third Proportional to 14,116 and 28,958

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Solution

The third proportional to 14,116 and 28,958 is: 59,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116 : 28,958 = 28,958 : x
  2. Step 2: Convert to fraction form
    14,116/28,958 = 28,958/x
  3. Step 3: Cross multiply
    14,116x = 28,958 × 28,958
  4. Step 4: Simplify right side
    14,116x = 838,565,764
  5. Step 5: Solve for x
    x = 838,565,764/14,116
  6. Step 6: Final answer
    x = 59,405.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.