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Finding the Third Proportional to 14,814 and 32,631.75

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Solution

The third proportional to 14,814 and 32,631.75 is: 71,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814 : 32,631.75 = 32,631.75 : x
  2. Step 2: Convert to fraction form
    14,814/32,631.75 = 32,631.75/x
  3. Step 3: Cross multiply
    14,814x = 32,631.75 × 32,631.75
  4. Step 4: Simplify right side
    14,814x = 1,064,831,108.06
  5. Step 5: Solve for x
    x = 1,064,831,108.06/14,814
  6. Step 6: Final answer
    x = 71,880.05

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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.