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Finding the Third Proportional to 21,442.22 and 32,321.53

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Solution

The third proportional to 21,442.22 and 32,321.53 is: 48,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,442.22 : 32,321.53 = 32,321.53 : x
  2. Step 2: Convert to fraction form
    21,442.22/32,321.53 = 32,321.53/x
  3. Step 3: Cross multiply
    21,442.22x = 32,321.53 × 32,321.53
  4. Step 4: Simplify right side
    21,442.22x = 1,044,681,382.34
  5. Step 5: Solve for x
    x = 1,044,681,382.34/21,442.22
  6. Step 6: Final answer
    x = 48,720.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.