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Finding the Third Proportional to 23,580.28 and 50,534.72

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Solution

The third proportional to 23,580.28 and 50,534.72 is: 108,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.28 : 50,534.72 = 50,534.72 : x
  2. Step 2: Convert to fraction form
    23,580.28/50,534.72 = 50,534.72/x
  3. Step 3: Cross multiply
    23,580.28x = 50,534.72 × 50,534.72
  4. Step 4: Simplify right side
    23,580.28x = 2,553,757,799.14
  5. Step 5: Solve for x
    x = 2,553,757,799.14/23,580.28
  6. Step 6: Final answer
    x = 108,300.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.