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Finding the Third Proportional to 41,592 and 58,209

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Solution

The third proportional to 41,592 and 58,209 is: 81,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,592 : 58,209 = 58,209 : x
  2. Step 2: Convert to fraction form
    41,592/58,209 = 58,209/x
  3. Step 3: Cross multiply
    41,592x = 58,209 × 58,209
  4. Step 4: Simplify right side
    41,592x = 3,388,287,681
  5. Step 5: Solve for x
    x = 3,388,287,681/41,592
  6. Step 6: Final answer
    x = 81,464.89

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.