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Finding the Third Proportional to 14,738 and 32,350

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Solution

The third proportional to 14,738 and 32,350 is: 71,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738 : 32,350 = 32,350 : x
  2. Step 2: Convert to fraction form
    14,738/32,350 = 32,350/x
  3. Step 3: Cross multiply
    14,738x = 32,350 × 32,350
  4. Step 4: Simplify right side
    14,738x = 1,046,522,500
  5. Step 5: Solve for x
    x = 1,046,522,500/14,738
  6. Step 6: Final answer
    x = 71,008.45

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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.