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Finding the Third Proportional to 21,361.22 and 32,360.77

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Solution

The third proportional to 21,361.22 and 32,360.77 is: 49,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,361.22 : 32,360.77 = 32,360.77 : x
  2. Step 2: Convert to fraction form
    21,361.22/32,360.77 = 32,360.77/x
  3. Step 3: Cross multiply
    21,361.22x = 32,360.77 × 32,360.77
  4. Step 4: Simplify right side
    21,361.22x = 1,047,219,151.84
  5. Step 5: Solve for x
    x = 1,047,219,151.84/21,361.22
  6. Step 6: Final answer
    x = 49,024.32

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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.