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Finding the Third Proportional to 30,639.09 and 42,191.72

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Solution

The third proportional to 30,639.09 and 42,191.72 is: 58,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,639.09 : 42,191.72 = 42,191.72 : x
  2. Step 2: Convert to fraction form
    30,639.09/42,191.72 = 42,191.72/x
  3. Step 3: Cross multiply
    30,639.09x = 42,191.72 × 42,191.72
  4. Step 4: Simplify right side
    30,639.09x = 1,780,141,131.08
  5. Step 5: Solve for x
    x = 1,780,141,131.08/30,639.09
  6. Step 6: Final answer
    x = 58,100.32

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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.