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Finding the Third Proportional to 20,883.94 and 32,315.06

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Solution

The third proportional to 20,883.94 and 32,315.06 is: 50,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.94 : 32,315.06 = 32,315.06 : x
  2. Step 2: Convert to fraction form
    20,883.94/32,315.06 = 32,315.06/x
  3. Step 3: Cross multiply
    20,883.94x = 32,315.06 × 32,315.06
  4. Step 4: Simplify right side
    20,883.94x = 1,044,263,264.38
  5. Step 5: Solve for x
    x = 1,044,263,264.38/20,883.94
  6. Step 6: Final answer
    x = 50,003.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.