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Finding the Third Proportional to 14,847.19 and 32,015.06

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Solution

The third proportional to 14,847.19 and 32,015.06 is: 69,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.19 : 32,015.06 = 32,015.06 : x
  2. Step 2: Convert to fraction form
    14,847.19/32,015.06 = 32,015.06/x
  3. Step 3: Cross multiply
    14,847.19x = 32,015.06 × 32,015.06
  4. Step 4: Simplify right side
    14,847.19x = 1,024,964,226.88
  5. Step 5: Solve for x
    x = 1,024,964,226.88/14,847.19
  6. Step 6: Final answer
    x = 69,034.23

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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.