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Finding the Third Proportional to 43,400 and 58,053

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Solution

The third proportional to 43,400 and 58,053 is: 77,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,400 : 58,053 = 58,053 : x
  2. Step 2: Convert to fraction form
    43,400/58,053 = 58,053/x
  3. Step 3: Cross multiply
    43,400x = 58,053 × 58,053
  4. Step 4: Simplify right side
    43,400x = 3,370,150,809
  5. Step 5: Solve for x
    x = 3,370,150,809/43,400
  6. Step 6: Final answer
    x = 77,653.24

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