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Finding the Third Proportional to 42,265.13 and 65,817.56

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Solution

The third proportional to 42,265.13 and 65,817.56 is: 102,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,265.13 : 65,817.56 = 65,817.56 : x
  2. Step 2: Convert to fraction form
    42,265.13/65,817.56 = 65,817.56/x
  3. Step 3: Cross multiply
    42,265.13x = 65,817.56 × 65,817.56
  4. Step 4: Simplify right side
    42,265.13x = 4,331,951,533.44
  5. Step 5: Solve for x
    x = 4,331,951,533.44/42,265.13
  6. Step 6: Final answer
    x = 102,494.71

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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.