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Finding the Third Proportional to 14,023 and 30,686

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Solution

The third proportional to 14,023 and 30,686 is: 67,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023 : 30,686 = 30,686 : x
  2. Step 2: Convert to fraction form
    14,023/30,686 = 30,686/x
  3. Step 3: Cross multiply
    14,023x = 30,686 × 30,686
  4. Step 4: Simplify right side
    14,023x = 941,630,596
  5. Step 5: Solve for x
    x = 941,630,596/14,023
  6. Step 6: Final answer
    x = 67,149.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.