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Finding the Third Proportional to 20,754.75 and 32,428.13

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Solution

The third proportional to 20,754.75 and 32,428.13 is: 50,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754.75 : 32,428.13 = 32,428.13 : x
  2. Step 2: Convert to fraction form
    20,754.75/32,428.13 = 32,428.13/x
  3. Step 3: Cross multiply
    20,754.75x = 32,428.13 × 32,428.13
  4. Step 4: Simplify right side
    20,754.75x = 1,051,583,291.02
  5. Step 5: Solve for x
    x = 1,051,583,291.02/20,754.75
  6. Step 6: Final answer
    x = 50,667.11

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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.