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Finding the Third Proportional to 21,662.44 and 32,405.06

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Solution

The third proportional to 21,662.44 and 32,405.06 is: 48,475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.44 : 32,405.06 = 32,405.06 : x
  2. Step 2: Convert to fraction form
    21,662.44/32,405.06 = 32,405.06/x
  3. Step 3: Cross multiply
    21,662.44x = 32,405.06 × 32,405.06
  4. Step 4: Simplify right side
    21,662.44x = 1,050,088,075.63
  5. Step 5: Solve for x
    x = 1,050,088,075.63/21,662.44
  6. Step 6: Final answer
    x = 48,475.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.