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Finding the Third Proportional to 30,642.75 and 42,197.25

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Solution

The third proportional to 30,642.75 and 42,197.25 is: 58,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.75 : 42,197.25 = 42,197.25 : x
  2. Step 2: Convert to fraction form
    30,642.75/42,197.25 = 42,197.25/x
  3. Step 3: Cross multiply
    30,642.75x = 42,197.25 × 42,197.25
  4. Step 4: Simplify right side
    30,642.75x = 1,780,607,907.56
  5. Step 5: Solve for x
    x = 1,780,607,907.56/30,642.75
  6. Step 6: Final answer
    x = 58,108.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.