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Finding the Third Proportional to 43,477 and 58,236

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Solution

The third proportional to 43,477 and 58,236 is: 78,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,477 : 58,236 = 58,236 : x
  2. Step 2: Convert to fraction form
    43,477/58,236 = 58,236/x
  3. Step 3: Cross multiply
    43,477x = 58,236 × 58,236
  4. Step 4: Simplify right side
    43,477x = 3,391,431,696
  5. Step 5: Solve for x
    x = 3,391,431,696/43,477
  6. Step 6: Final answer
    x = 78,005.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.