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Finding the Third Proportional to 14,865 and 32,180.25

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Solution

The third proportional to 14,865 and 32,180.25 is: 69,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865 : 32,180.25 = 32,180.25 : x
  2. Step 2: Convert to fraction form
    14,865/32,180.25 = 32,180.25/x
  3. Step 3: Cross multiply
    14,865x = 32,180.25 × 32,180.25
  4. Step 4: Simplify right side
    14,865x = 1,035,568,490.06
  5. Step 5: Solve for x
    x = 1,035,568,490.06/14,865
  6. Step 6: Final answer
    x = 69,664.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.