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Finding the Third Proportional to 42,930 and 65,675.25

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Solution

The third proportional to 42,930 and 65,675.25 is: 100,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,930 : 65,675.25 = 65,675.25 : x
  2. Step 2: Convert to fraction form
    42,930/65,675.25 = 65,675.25/x
  3. Step 3: Cross multiply
    42,930x = 65,675.25 × 65,675.25
  4. Step 4: Simplify right side
    42,930x = 4,313,238,462.56
  5. Step 5: Solve for x
    x = 4,313,238,462.56/42,930
  6. Step 6: Final answer
    x = 100,471.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.