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Finding the Third Proportional to 20,040.86 and 42,541.14

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Solution

The third proportional to 20,040.86 and 42,541.14 is: 90,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,040.86 : 42,541.14 = 42,541.14 : x
  2. Step 2: Convert to fraction form
    20,040.86/42,541.14 = 42,541.14/x
  3. Step 3: Cross multiply
    20,040.86x = 42,541.14 × 42,541.14
  4. Step 4: Simplify right side
    20,040.86x = 1,809,748,313.32
  5. Step 5: Solve for x
    x = 1,809,748,313.32/20,040.86
  6. Step 6: Final answer
    x = 90,302.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.