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Finding the Third Proportional to 42,427.13 and 58,443.19

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Solution

The third proportional to 42,427.13 and 58,443.19 is: 80,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,427.13 : 58,443.19 = 58,443.19 : x
  2. Step 2: Convert to fraction form
    42,427.13/58,443.19 = 58,443.19/x
  3. Step 3: Cross multiply
    42,427.13x = 58,443.19 × 58,443.19
  4. Step 4: Simplify right side
    42,427.13x = 3,415,606,165.16
  5. Step 5: Solve for x
    x = 3,415,606,165.16/42,427.13
  6. Step 6: Final answer
    x = 80,505.25

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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.