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Finding the Third Proportional to 20,943.56 and 32,577.19

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Solution

The third proportional to 20,943.56 and 32,577.19 is: 50,673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,943.56 : 32,577.19 = 32,577.19 : x
  2. Step 2: Convert to fraction form
    20,943.56/32,577.19 = 32,577.19/x
  3. Step 3: Cross multiply
    20,943.56x = 32,577.19 × 32,577.19
  4. Step 4: Simplify right side
    20,943.56x = 1,061,273,145.41
  5. Step 5: Solve for x
    x = 1,061,273,145.41/20,943.56
  6. Step 6: Final answer
    x = 50,673.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.