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Finding the Third Proportional to 14,660 and 32,236

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Solution

The third proportional to 14,660 and 32,236 is: 70,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660 : 32,236 = 32,236 : x
  2. Step 2: Convert to fraction form
    14,660/32,236 = 32,236/x
  3. Step 3: Cross multiply
    14,660x = 32,236 × 32,236
  4. Step 4: Simplify right side
    14,660x = 1,039,159,696
  5. Step 5: Solve for x
    x = 1,039,159,696/14,660
  6. Step 6: Final answer
    x = 70,884.02

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Why These Related Problems?

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