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Finding the Third Proportional to 14,642 and 32,200

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Solution

The third proportional to 14,642 and 32,200 is: 70,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642 : 32,200 = 32,200 : x
  2. Step 2: Convert to fraction form
    14,642/32,200 = 32,200/x
  3. Step 3: Cross multiply
    14,642x = 32,200 × 32,200
  4. Step 4: Simplify right side
    14,642x = 1,036,840,000
  5. Step 5: Solve for x
    x = 1,036,840,000/14,642
  6. Step 6: Final answer
    x = 70,812.73

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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.