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Finding the Third Proportional to 43,621 and 58,856

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Solution

The third proportional to 43,621 and 58,856 is: 79,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,621 : 58,856 = 58,856 : x
  2. Step 2: Convert to fraction form
    43,621/58,856 = 58,856/x
  3. Step 3: Cross multiply
    43,621x = 58,856 × 58,856
  4. Step 4: Simplify right side
    43,621x = 3,464,028,736
  5. Step 5: Solve for x
    x = 3,464,028,736/43,621
  6. Step 6: Final answer
    x = 79,411.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.