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Finding the Third Proportional to 21,932.44 and 32,752.69

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Solution

The third proportional to 21,932.44 and 32,752.69 is: 48,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932.44 : 32,752.69 = 32,752.69 : x
  2. Step 2: Convert to fraction form
    21,932.44/32,752.69 = 32,752.69/x
  3. Step 3: Cross multiply
    21,932.44x = 32,752.69 × 32,752.69
  4. Step 4: Simplify right side
    21,932.44x = 1,072,738,538.47
  5. Step 5: Solve for x
    x = 1,072,738,538.47/21,932.44
  6. Step 6: Final answer
    x = 48,911.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.