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Finding the Third Proportional to 20,784.75 and 43,047.75

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Solution

The third proportional to 20,784.75 and 43,047.75 is: 89,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784.75 : 43,047.75 = 43,047.75 : x
  2. Step 2: Convert to fraction form
    20,784.75/43,047.75 = 43,047.75/x
  3. Step 3: Cross multiply
    20,784.75x = 43,047.75 × 43,047.75
  4. Step 4: Simplify right side
    20,784.75x = 1,853,108,780.06
  5. Step 5: Solve for x
    x = 1,853,108,780.06/20,784.75
  6. Step 6: Final answer
    x = 89,157.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.