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Finding the Third Proportional to 14,617 and 32,150

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Solution

The third proportional to 14,617 and 32,150 is: 70,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617 : 32,150 = 32,150 : x
  2. Step 2: Convert to fraction form
    14,617/32,150 = 32,150/x
  3. Step 3: Cross multiply
    14,617x = 32,150 × 32,150
  4. Step 4: Simplify right side
    14,617x = 1,033,622,500
  5. Step 5: Solve for x
    x = 1,033,622,500/14,617
  6. Step 6: Final answer
    x = 70,713.72

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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.