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Finding the Third Proportional to 21,642.19 and 32,377.22

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Solution

The third proportional to 21,642.19 and 32,377.22 is: 48,437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.19 : 32,377.22 = 32,377.22 : x
  2. Step 2: Convert to fraction form
    21,642.19/32,377.22 = 32,377.22/x
  3. Step 3: Cross multiply
    21,642.19x = 32,377.22 × 32,377.22
  4. Step 4: Simplify right side
    21,642.19x = 1,048,284,293.99
  5. Step 5: Solve for x
    x = 1,048,284,293.99/21,642.19
  6. Step 6: Final answer
    x = 48,437.08

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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.