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Finding the Third Proportional to 14,046 and 30,858

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Solution

The third proportional to 14,046 and 30,858 is: 67,792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046 : 30,858 = 30,858 : x
  2. Step 2: Convert to fraction form
    14,046/30,858 = 30,858/x
  3. Step 3: Cross multiply
    14,046x = 30,858 × 30,858
  4. Step 4: Simplify right side
    14,046x = 952,216,164
  5. Step 5: Solve for x
    x = 952,216,164/14,046
  6. Step 6: Final answer
    x = 67,792.69

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