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Finding the Third Proportional to 42,349.22 and 58,069.69

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Solution

The third proportional to 42,349.22 and 58,069.69 is: 79,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,349.22 : 58,069.69 = 58,069.69 : x
  2. Step 2: Convert to fraction form
    42,349.22/58,069.69 = 58,069.69/x
  3. Step 3: Cross multiply
    42,349.22x = 58,069.69 × 58,069.69
  4. Step 4: Simplify right side
    42,349.22x = 3,372,088,606.35
  5. Step 5: Solve for x
    x = 3,372,088,606.35/42,349.22
  6. Step 6: Final answer
    x = 79,625.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.