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Finding the Third Proportional to 41,983 and 58,702

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Solution

The third proportional to 41,983 and 58,702 is: 82,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,983 : 58,702 = 58,702 : x
  2. Step 2: Convert to fraction form
    41,983/58,702 = 58,702/x
  3. Step 3: Cross multiply
    41,983x = 58,702 × 58,702
  4. Step 4: Simplify right side
    41,983x = 3,445,924,804
  5. Step 5: Solve for x
    x = 3,445,924,804/41,983
  6. Step 6: Final answer
    x = 82,079.05

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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.